diff --git a/changelogs/upcoming/7516.md b/changelogs/upcoming/7516.md
new file mode 100644
index 00000000000..f05e82de4e9
--- /dev/null
+++ b/changelogs/upcoming/7516.md
@@ -0,0 +1,2 @@
+- Updated `EuiSuperDatePicker` with a new `refreshMinInterval` prop, which accepts a minimum number in milliseconds
+- Updated `EuiAutoRefresh` and `EuiRefreshInterval` with a new `minInterval` prop, which accepts a minimum number in milliseconds
diff --git a/src/components/date_picker/auto_refresh/auto_refresh.test.tsx b/src/components/date_picker/auto_refresh/auto_refresh.test.tsx
index 9edbcc3f546..fe6a4ff158f 100644
--- a/src/components/date_picker/auto_refresh/auto_refresh.test.tsx
+++ b/src/components/date_picker/auto_refresh/auto_refresh.test.tsx
@@ -42,6 +42,49 @@ describe('EuiAutoRefresh', () => {
     expect(container.firstChild).toMatchSnapshot();
   });
 
+  test('minInterval renders an invalid warning on the number input', () => {
+    const onRefreshChange = jest.fn();
+    const { getByRole, getByTestSubject } = render(
+      <EuiAutoRefresh
+        isPaused={false}
+        refreshInterval={1000}
+        minInterval={3000}
+        onRefreshChange={onRefreshChange}
+      />
+    );
+    const getNumberInput = () =>
+      getByTestSubject('superDatePickerRefreshIntervalInput');
+    const getUnitSelect = () =>
+      getByTestSubject('superDatePickerRefreshIntervalUnitsSelect');
+
+    fireEvent.click(getByRole('button'));
+    expect(getNumberInput()).toBeInvalid();
+
+    fireEvent.change(getUnitSelect(), { target: { value: 'm' } });
+    expect(onRefreshChange).toHaveBeenLastCalledWith({
+      refreshInterval: 60000,
+      intervalUnits: 'm',
+      isPaused: false,
+    });
+    expect(getNumberInput()).toBeValid();
+
+    fireEvent.change(getUnitSelect(), { target: { value: 's' } });
+    expect(onRefreshChange).toHaveBeenLastCalledWith({
+      refreshInterval: 3000, // Should pass back the minimum instead of the current 1000 value
+      intervalUnits: 's',
+      isPaused: false,
+    });
+    expect(getNumberInput()).toBeInvalid();
+
+    fireEvent.change(getNumberInput(), { target: { value: 5 } });
+    expect(onRefreshChange).toHaveBeenLastCalledWith({
+      refreshInterval: 5000,
+      intervalUnits: 's',
+      isPaused: false,
+    });
+    expect(getNumberInput()).toBeValid();
+  });
+
   test('intervalUnits forces rendering in the provided units', () => {
     const { getByLabelText, getByRole, getByTestSubject } = render(
       <EuiAutoRefresh
diff --git a/src/components/date_picker/auto_refresh/auto_refresh.tsx b/src/components/date_picker/auto_refresh/auto_refresh.tsx
index e4e7f89b67a..d8b08dd5366 100644
--- a/src/components/date_picker/auto_refresh/auto_refresh.tsx
+++ b/src/components/date_picker/auto_refresh/auto_refresh.tsx
@@ -40,6 +40,7 @@ export const EuiAutoRefresh: FunctionComponent<EuiAutoRefreshProps> = ({
   isDisabled,
   isPaused = true,
   refreshInterval = 1000,
+  minInterval = 0,
   readOnly = true,
   ...rest
 }) => {
@@ -90,6 +91,7 @@ export const EuiAutoRefresh: FunctionComponent<EuiAutoRefreshProps> = ({
         onRefreshChange={onRefreshChange}
         isPaused={isPaused}
         refreshInterval={refreshInterval}
+        minInterval={minInterval}
         intervalUnits={intervalUnits}
       />
     </EuiInputPopover>
@@ -115,6 +117,7 @@ export const EuiAutoRefreshButton: FunctionComponent<
   isDisabled,
   isPaused = true,
   refreshInterval = 1000,
+  minInterval = 0,
   shortHand = false,
   size = 's',
   color = 'text',
@@ -168,6 +171,7 @@ export const EuiAutoRefreshButton: FunctionComponent<
         onRefreshChange={onRefreshChange}
         isPaused={isPaused}
         refreshInterval={refreshInterval}
+        minInterval={minInterval}
         intervalUnits={intervalUnits}
       />
     </EuiPopover>
diff --git a/src/components/date_picker/auto_refresh/refresh_interval.tsx b/src/components/date_picker/auto_refresh/refresh_interval.tsx
index 5c86a7ef997..9de28b0775e 100644
--- a/src/components/date_picker/auto_refresh/refresh_interval.tsx
+++ b/src/components/date_picker/auto_refresh/refresh_interval.tsx
@@ -30,10 +30,10 @@ const MILLISECONDS_IN_SECOND = 1000;
 const MILLISECONDS_IN_MINUTE = MILLISECONDS_IN_SECOND * 60;
 const MILLISECONDS_IN_HOUR = MILLISECONDS_IN_MINUTE * 60;
 
-function fromMilliseconds(
+const fromMilliseconds = (
   milliseconds: Milliseconds,
   unit?: RefreshUnitsOptions
-): EuiRefreshIntervalState {
+): EuiRefreshIntervalState => {
   const round = (value: number) => parseFloat(value.toFixed(2));
   if (unit === 'h' || (!unit && milliseconds > MILLISECONDS_IN_HOUR)) {
     return {
@@ -53,9 +53,9 @@ function fromMilliseconds(
     units: 's',
     value: round(milliseconds / MILLISECONDS_IN_SECOND),
   };
-}
+};
 
-function toMilliseconds(units: RefreshUnitsOptions, value: Milliseconds) {
+const toMilliseconds = (units: RefreshUnitsOptions, value: Milliseconds) => {
   switch (units) {
     case 'h':
       return Math.round(value * MILLISECONDS_IN_HOUR);
@@ -65,7 +65,16 @@ function toMilliseconds(units: RefreshUnitsOptions, value: Milliseconds) {
     default:
       return Math.round(value * MILLISECONDS_IN_SECOND);
   }
-}
+};
+
+const getMinInterval = (
+  minInterval?: Milliseconds,
+  unit?: RefreshUnitsOptions
+): number => {
+  if (!minInterval) return 0;
+  const { value } = fromMilliseconds(minInterval, unit);
+  return Math.floor(value || 0);
+};
 
 export type EuiRefreshIntervalProps = {
   /**
@@ -77,9 +86,9 @@ export type EuiRefreshIntervalProps = {
    */
   refreshInterval?: Milliseconds;
   /**
-   * Passes back the updated state of `isPaused` `refreshInterval`, and `intervalUnits`.
+   * Allows specifying a minimum interval in milliseconds
    */
-  onRefreshChange: ApplyRefreshInterval;
+  minInterval?: Milliseconds;
   /**
    * By default, refresh interval units will be rounded up to next largest unit of time
    * (for example, 90 seconds will become 2m).
@@ -87,11 +96,16 @@ export type EuiRefreshIntervalProps = {
    * If you do not want this behavior, you can manually control the rendered unit via this prop.
    */
   intervalUnits?: RefreshUnitsOptions;
+  /**
+   * Passes back the updated state of `isPaused`, `refreshInterval`, and `intervalUnits`.
+   */
+  onRefreshChange: ApplyRefreshInterval;
 };
 
 interface EuiRefreshIntervalState {
   value: number | '';
   units: RefreshUnitsOptions;
+  min?: Milliseconds;
 }
 
 export class EuiRefreshInterval extends Component<
@@ -101,12 +115,16 @@ export class EuiRefreshInterval extends Component<
   static defaultProps = {
     isPaused: true,
     refreshInterval: 1000,
+    minInterval: 0,
   };
 
-  state: EuiRefreshIntervalState = fromMilliseconds(
-    this.props.refreshInterval || 0,
-    this.props.intervalUnits
-  );
+  state: EuiRefreshIntervalState = {
+    ...fromMilliseconds(
+      this.props.refreshInterval || 0,
+      this.props.intervalUnits
+    ),
+    min: getMinInterval(this.props.minInterval, this.props.intervalUnits),
+  };
 
   generateId = htmlIdGenerator();
   legendId = this.generateId();
@@ -123,9 +141,11 @@ export class EuiRefreshInterval extends Component<
   };
 
   onUnitsChange: ChangeEventHandler<HTMLSelectElement> = (event) => {
+    const units = event.target.value as RefreshUnitsOptions;
     this.setState(
       {
-        units: event.target.value as RefreshUnitsOptions,
+        units,
+        min: getMinInterval(this.props.minInterval, units),
       },
       this.applyRefreshInterval
     );
@@ -151,7 +171,7 @@ export class EuiRefreshInterval extends Component<
   };
 
   applyRefreshInterval = () => {
-    const { onRefreshChange, isPaused } = this.props;
+    const { onRefreshChange, isPaused, minInterval } = this.props;
     const { units, value } = this.state;
     if (value === '') {
       return;
@@ -160,7 +180,10 @@ export class EuiRefreshInterval extends Component<
       return;
     }
 
-    const refreshInterval = toMilliseconds(units, value);
+    const refreshInterval = Math.max(
+      toMilliseconds(units, value),
+      minInterval || 0
+    );
 
     onRefreshChange({
       refreshInterval,
@@ -221,7 +244,7 @@ export class EuiRefreshInterval extends Component<
 
   render() {
     const { isPaused } = this.props;
-    const { value, units } = this.state;
+    const { value, units, min } = this.state;
 
     return (
       <RenderI18nTimeOptions>
@@ -255,6 +278,7 @@ export class EuiRefreshInterval extends Component<
                   compressed
                   fullWidth
                   value={value}
+                  min={min}
                   onChange={this.onValueChange}
                   onKeyDown={this.handleKeyDown}
                   isInvalid={!isPaused && (value === '' || value <= 0)}
diff --git a/src/components/date_picker/super_date_picker/quick_select_popover/__snapshots__/quick_select_popover.test.tsx.snap b/src/components/date_picker/super_date_picker/quick_select_popover/__snapshots__/quick_select_popover.test.tsx.snap
index c1be9589f98..54dbcc3c5cb 100644
--- a/src/components/date_picker/super_date_picker/quick_select_popover/__snapshots__/quick_select_popover.test.tsx.snap
+++ b/src/components/date_picker/super_date_picker/quick_select_popover/__snapshots__/quick_select_popover.test.tsx.snap
@@ -350,6 +350,7 @@ exports[`EuiQuickSelectPanels customQuickSelectPanels should render custom panel
               class="euiFieldNumber euiFieldNumber--fullWidth euiFieldNumber--compressed"
               data-test-subj="superDatePickerRefreshIntervalInput"
               disabled=""
+              min="0"
               step="any"
               type="number"
               value="0"
diff --git a/src/components/date_picker/super_date_picker/super_date_picker.tsx b/src/components/date_picker/super_date_picker/super_date_picker.tsx
index ab94d756605..d7db318dd59 100644
--- a/src/components/date_picker/super_date_picker/super_date_picker.tsx
+++ b/src/components/date_picker/super_date_picker/super_date_picker.tsx
@@ -148,6 +148,11 @@ export type EuiSuperDatePickerProps = CommonProps & {
    * @default 1000
    */
   refreshInterval?: Milliseconds;
+  /**
+   * Minimum refresh interval in milliseconds
+   * @default 0
+   */
+  refreshMinInterval?: Milliseconds;
   /**
    * By default, refresh interval units will be rounded up to next largest unit of time
    * (for example, 90 seconds will become 2m).
@@ -497,6 +502,7 @@ export class EuiSuperDatePickerInternal extends Component<
       timeOptions,
       dateFormat,
       refreshInterval,
+      refreshMinInterval,
       refreshIntervalUnits,
       isPaused,
       isDisabled,
@@ -511,6 +517,7 @@ export class EuiSuperDatePickerInternal extends Component<
     const autoRefreshAppend: EuiFormControlLayoutProps['append'] = !isPaused ? (
       <EuiAutoRefreshButton
         refreshInterval={refreshInterval}
+        minInterval={refreshMinInterval}
         intervalUnits={refreshIntervalUnits}
         isDisabled={!!isDisabled}
         isPaused={isPaused}
@@ -671,6 +678,7 @@ export class EuiSuperDatePickerInternal extends Component<
       isPaused,
       onRefreshChange,
       refreshInterval,
+      refreshMinInterval,
       refreshIntervalUnits,
       showUpdateButton,
       'data-test-subj': dataTestSubj,
@@ -700,6 +708,7 @@ export class EuiSuperDatePickerInternal extends Component<
           <EuiAutoRefresh
             isPaused={isPaused}
             refreshInterval={refreshInterval}
+            minInterval={refreshMinInterval}
             intervalUnits={refreshIntervalUnits}
             onRefreshChange={this.onRefreshChange}
             fullWidth={width === 'full'}