diff --git a/contrib/seekable_format/tests/seekable_tests.c b/contrib/seekable_format/tests/seekable_tests.c
index c2e1619f4b2..f89bdc930cd 100644
--- a/contrib/seekable_format/tests/seekable_tests.c
+++ b/contrib/seekable_format/tests/seekable_tests.c
@@ -3,9 +3,56 @@
 #include <stdlib.h>  // malloc
 #include <stdio.h>
 #include <assert.h>
+#include <string.h>
 
 #include "../zstd_seekable.h"
 
+
+/* ZSTD_seekable_customFile implementation that reads/seeks a buffer while keeping track of total bytes read */
+typedef struct {
+    const void *ptr;
+    size_t size;
+    size_t pos;
+    size_t totalRead;
+} buffWrapperWithTotal_t;
+
+static int readBuffWithTotal(void* opaque, void* buffer, size_t n)
+{
+    buffWrapperWithTotal_t* const buff = (buffWrapperWithTotal_t*)opaque;
+    assert(buff != NULL);
+    if (buff->pos + n > buff->size) return -1;
+    memcpy(buffer, (const char*)buff->ptr + buff->pos, n);
+    buff->pos += n;
+    buff->totalRead += n;
+    return 0;
+}
+
+static int seekBuffWithTotal(void* opaque, long long offset, int origin)
+{
+    buffWrapperWithTotal_t* const buff = (buffWrapperWithTotal_t*) opaque;
+    unsigned long long newOffset;
+    assert(buff != NULL);
+    switch (origin) {
+    case SEEK_SET:
+        assert(offset >= 0);
+        newOffset = (unsigned long long)offset;
+        break;
+    case SEEK_CUR:
+        newOffset = (unsigned long long)((long long)buff->pos + offset);
+        break;
+    case SEEK_END:
+        newOffset = (unsigned long long)((long long)buff->size + offset);
+        break;
+    default:
+        assert(0);  /* not possible */
+    }
+    if (newOffset > buff->size) {
+        return -1;
+    }
+    buff->pos = newOffset;
+    return 0;
+}
+
 /* Basic unit tests for zstd seekable format */
 int main(int argc, const char** argv)
 {
@@ -220,6 +267,92 @@ int main(int argc, const char** argv)
     }
     printf("Success!\n");
 
+
+    printf("Test %u - multiple decompress calls: ", testNb++);
+    {   char const inBuffer[] = "Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt";
+        size_t const inSize = sizeof(inBuffer);
+
+        size_t const seekCapacity = 5000;
+        void* const seekBuffer = malloc(seekCapacity);
+        assert(seekBuffer != NULL);
+        size_t seekSize;
+
+        size_t const outCapacity = inSize;
+        char* const outBuffer = malloc(outCapacity);
+        assert(outBuffer != NULL);
+
+        ZSTD_seekable_CStream* const zscs = ZSTD_seekable_createCStream();
+        assert(zscs != NULL);
+
+        /* compress test data with a small frame size to ensure multiple frames in the output */
+        unsigned const maxFrameSize = 40;
+        { size_t const initStatus = ZSTD_seekable_initCStream(zscs, 9, 0 /* checksumFlag */, maxFrameSize);
+          assert(!ZSTD_isError(initStatus));
+        }
+
+        {   ZSTD_outBuffer outb = { .dst=seekBuffer, .pos=0, .size=seekCapacity };
+            ZSTD_inBuffer inb = { .src=inBuffer, .pos=0, .size=inSize };
+
+            while (inb.pos < inb.size) {
+                size_t const cStatus = ZSTD_seekable_compressStream(zscs, &outb, &inb);
+                assert(!ZSTD_isError(cStatus));
+            }
+
+            size_t const endStatus = ZSTD_seekable_endStream(zscs, &outb);
+            assert(!ZSTD_isError(endStatus));
+            seekSize = outb.pos;
+        }
+
+        ZSTD_seekable* const stream = ZSTD_seekable_create();
+        assert(stream != NULL);
+        buffWrapperWithTotal_t buffWrapper = {seekBuffer, seekSize, 0, 0};
+        { ZSTD_seekable_customFile srcFile = {&buffWrapper, &readBuffWithTotal, &seekBuffWithTotal};
+          size_t const initStatus = ZSTD_seekable_initAdvanced(stream, srcFile);
+          assert(!ZSTD_isError(initStatus)); }
+
+        /* Perform a series of small reads and seeks (repeatedly read 1 byte and skip 1 byte)
+           and check that we didn't reread input data unnecessarily */
+        size_t pos;
+        for (pos = 0; pos < inSize; pos += 2) {
+            size_t const decStatus = ZSTD_seekable_decompress(stream, outBuffer, 1, pos);
+            if (decStatus != 1 || outBuffer[0] != inBuffer[pos]) {
+                goto _test_error;
+            }
+        }
+        if (buffWrapper.totalRead > seekSize) {
+            /* We read more than the compressed size, meaning there were some rereads.
+               This is unneeded because we only seeked forward. */
+            printf("Too much data read: %zu read, with compressed size %zu\n", buffWrapper.totalRead, seekSize);
+            goto _test_error;
+        }
+
+        /* Perform some reads and seeks to ensure correctness */
+        struct {
+            size_t offset;
+            size_t size;
+        } const tests[] = {  /* Assume the frame size is 40 */
+            {20, 40}, /* read partial data from two frames */
+            {60, 10}, /* continue reading from the same offset */
+            {50, 20}, /* seek backward within the same frame */
+            {10, 10}, /* seek backward to a different frame */
+            {25, 10}, /* seek forward within the same frame */
+            {60, 10}, /* seek forward to a different frame */
+        };
+        size_t idx;
+        for (idx = 0; idx < sizeof(tests) / sizeof(tests[0]); idx++) {
+            size_t const decStatus = ZSTD_seekable_decompress(stream, outBuffer, tests[idx].size, tests[idx].offset);
+            if (decStatus != tests[idx].size || memcmp(outBuffer, inBuffer + tests[idx].offset, tests[idx].size) != 0) {
+                goto _test_error;
+            }
+        }
+
+        free(seekBuffer);
+        free(outBuffer);
+        ZSTD_seekable_freeCStream(zscs);
+        ZSTD_seekable_free(stream);
+    }
+    printf("Success!\n");
+
     /* TODO: Add more tests */
     printf("Finished tests\n");
     return 0;
diff --git a/contrib/seekable_format/zstdseek_decompress.c b/contrib/seekable_format/zstdseek_decompress.c
index fbb2d4fe3be..4fefc5f2eb6 100644
--- a/contrib/seekable_format/zstdseek_decompress.c
+++ b/contrib/seekable_format/zstdseek_decompress.c
@@ -493,7 +493,7 @@ size_t ZSTD_seekable_decompress(ZSTD_seekable* zs, void* dst, size_t len, unsign
     size_t srcBytesRead = 0;
     do {
         /* check if we can continue from a previous decompress job */
-        if (targetFrame != zs->curFrame || offset != zs->decompressedOffset) {
+        if (targetFrame != zs->curFrame || offset < zs->decompressedOffset) {
             zs->decompressedOffset = zs->seekTable.entries[targetFrame].dOffset;
             zs->curFrame = targetFrame;