diff --git a/etc/firebase-admin.api.md b/etc/firebase-admin.api.md
index 9ccd7cc067..c32228e8c1 100644
--- a/etc/firebase-admin.api.md
+++ b/etc/firebase-admin.api.md
@@ -152,7 +152,7 @@ export namespace auth {
         updateProviderConfig(providerId: string, updatedConfig: UpdateAuthProviderRequest): Promise<AuthProviderConfig>;
         updateUser(uid: string, properties: UpdateRequest): Promise<UserRecord>;
         verifyIdToken(idToken: string, checkRevoked?: boolean): Promise<DecodedIdToken>;
-        verifySessionCookie(sessionCookie: string, checkForRevocation?: boolean): Promise<DecodedIdToken>;
+        verifySessionCookie(sessionCookie: string, checkRevoked?: boolean): Promise<DecodedIdToken>;
     }
     export interface BaseAuthProviderConfig {
         displayName?: string;
diff --git a/src/auth/auth.ts b/src/auth/auth.ts
index 8ca6e549c6..5f881d5ca6 100644
--- a/src/auth/auth.ts
+++ b/src/auth/auth.ts
@@ -104,14 +104,14 @@ export class BaseAuth<T extends AbstractAuthRequestHandler> implements BaseAuthI
   }
 
   /**
-   * Verifies a JWT auth token. Returns a promise with the tokens claims.
+   * Verifies a JWT auth token. Returns a promise with the token‘s claims.
    * Rejects the promise if the token cannot be verified.
    * If `checkRevoked` is set to true, first verifies whether the corresponding
    * user is disabled.
-   * If yes, an auth/user-disabled error is thrown.
+   * If yes, an `auth/user-disabled` error is thrown.
    * If no, verifies if the session corresponding to the ID token was revoked.
    * If the corresponding user's session was invalidated, an
-   * auth/id-token-revoked error is thrown.
+   * `auth/id-token-revoked` error is thrown.
    * If not specified the check is not applied.
    *
    * @param {string} idToken The JWT to verify.
@@ -510,15 +510,15 @@ export class BaseAuth<T extends AbstractAuthRequestHandler> implements BaseAuthI
   }
 
   /**
-   * Verifies a Firebase session cookie. Returns a promise with the tokens claims.
+   * Verifies a Firebase session cookie. Returns a promise with the token’s claims.
    * Rejects the promise if the cookie could not be verified. 
    * If `checkRevoked` is set to true, first verifies whether the corresponding
    * user is disabled:
-   * If yes, an auth/user-disabled error is thrown.
+   * If yes, an `auth/user-disabled` error is thrown.
    * If no, verifies if the session corresponding to the session cookie was
    * revoked.
    * If the corresponding user's session was invalidated, an
-   * auth/session-cookie-revoked error is thrown.
+   * `auth/session-cookie-revoked` error is thrown.
    * If not specified the check is not performed.
    *
    * @param {string} sessionCookie The session cookie to verify.
@@ -797,7 +797,7 @@ export class TenantAwareAuth
    * Verifies a JWT auth token. Returns a promise with the tokens claims. Rejects
    * the promise if the token could not be verified. If checkRevoked is set to true,
    * verifies if the session corresponding to the ID token was revoked. If the corresponding
-   * user's session was invalidated, an auth/id-token-revoked error is thrown. If not specified
+   * user's session was invalidated, an `auth/id-token-revoked` error is thrown. If not specified
    * the check is not applied.
    *
    * @param {string} idToken The JWT to verify.
@@ -848,7 +848,7 @@ export class TenantAwareAuth
    * Verifies a Firebase session cookie. Returns a promise with the tokens claims. Rejects
    * the promise if the token could not be verified. If checkRevoked is set to true,
    * verifies if the session corresponding to the session cookie was revoked. If the corresponding
-   * user's session was invalidated, an auth/session-cookie-revoked error is thrown. If not
+   * user's session was invalidated, an `auth/session-cookie-revoked` error is thrown. If not
    * specified the check is not performed.
    *
    * @param {string} sessionCookie The session cookie to verify.
diff --git a/src/auth/index.ts b/src/auth/index.ts
index 6193336beb..6aa19f01b2 100644
--- a/src/auth/index.ts
+++ b/src/auth/index.ts
@@ -1707,11 +1707,15 @@ export namespace auth {
     updateUser(uid: string, properties: UpdateRequest): Promise<UserRecord>;
 
     /**
-     * Verifies a Firebase ID token (JWT). If the token is valid, the promise is
-     * fulfilled with the token's decoded claims; otherwise, the promise is
-     * rejected.
-     * An optional flag can be passed to additionally check whether the ID token
-     * was revoked.
+     * Verifies a JWT auth token. Returns a promise with the token‘s claims.
+     * Rejects the promise if the token cannot be verified.
+     * If `checkRevoked` is set to true, first verifies whether the corresponding
+     * user is disabled.
+     * If yes, an `auth/user-disabled` error is thrown.
+     * If no, verifies if the session corresponding to the ID token was revoked.
+     * If the corresponding user's session was invalidated, an
+     * `auth/id-token-revoked` error is thrown.
+     * If not specified the check is not applied.
      *
      * See [Verify ID Tokens](/docs/auth/admin/verify-id-tokens) for code samples
      * and detailed documentation.
@@ -1821,18 +1825,22 @@ export namespace auth {
     ): Promise<string>;
 
     /**
-     * Verifies a Firebase session cookie. Returns a Promise with the cookie claims.
-     * Rejects the promise if the cookie could not be verified. If `checkRevoked` is
-     * set to true, verifies if the session corresponding to the session cookie was
-     * revoked. If the corresponding user's session was revoked, an
-     * `auth/session-cookie-revoked` error is thrown. If not specified the check is
-     * not performed.
+     * Verifies a Firebase session cookie. Returns a promise with the token’s claims.
+     * Rejects the promise if the cookie could not be verified. 
+     * If `checkRevoked` is set to true, first verifies whether the corresponding
+     * user is disabled:
+     * If yes, an `auth/user-disabled` error is thrown.
+     * If no, verifies if the session corresponding to the session cookie was
+     * revoked.
+     * If the corresponding user's session was invalidated, an
+     * `auth/session-cookie-revoked` error is thrown.
+     * If not specified the check is not performed.
      *
      * See [Verify Session Cookies](/docs/auth/admin/manage-cookies#verify_session_cookie_and_check_permissions)
      * for code samples and detailed documentation
      *
      * @param sessionCookie The session cookie to verify.
-     * @param checkForRevocation  Whether to check if the session cookie was
+     * @param checkRevoked  Whether to check if the session cookie was
      *   revoked. This requires an extra request to the Firebase Auth backend to
      *   check the `tokensValidAfterTime` time for the corresponding user.
      *   When not specified, this additional check is not performed.
@@ -1843,7 +1851,7 @@ export namespace auth {
      */
     verifySessionCookie(
       sessionCookie: string,
-      checkForRevocation?: boolean,
+      checkRevoked?: boolean,
     ): Promise<DecodedIdToken>;
 
     /**