diff --git a/src/rmarkdown/chunks.ts b/src/rmarkdown/chunks.ts
index 2493ad99b..68121a7dc 100644
--- a/src/rmarkdown/chunks.ts
+++ b/src/rmarkdown/chunks.ts
@@ -18,12 +18,17 @@ function isChunkStartLine(text: string, isRDoc: boolean) {
     }
 }
 
-function isChunkEndLine(text: string, isRDoc: boolean) {
+function fenceLength(text: string) {
+    return text.match(/^\s*(`{3,})/)?.[1].length ?? 0;
+}
+
+function isChunkEndLine(text: string, isRDoc: boolean, minBackticks = 3) {
     if (isRDoc) {
         const isSectionHeader = text.match(/^#+\s*.*[-#+=*]{4,}/g);
         return isRChunkLine(text) || isSectionHeader;
     } else {
-        return !!text.match(/^\s*```+\s*$/g);
+        const match = text.match(/^\s*(`{3,})\s*$/);
+        return !!match && match[1].length >= minBackticks;
     }
 }
 
@@ -97,6 +102,7 @@ export function getChunks(document: vscode.TextDocument): RMarkdownChunk[] {
     let line = 0;
     let chunkId = 0; // One-based index
     let chunkStartLine: number | undefined = undefined;
+    let chunkFenceLength = 0;
     let chunkLanguage: string | undefined = undefined;
     let chunkOptions: string | undefined = undefined;
     let chunkEval: boolean | undefined = undefined;
@@ -130,12 +136,13 @@ export function getChunks(document: vscode.TextDocument): RMarkdownChunk[] {
             if (isChunkStartLine(lines[line], isRDoc)) {
                 chunkId++;
                 chunkStartLine = line;
+                chunkFenceLength = isRDoc ? 0 : fenceLength(lines[line]);
                 chunkLanguage = getChunkLanguage(lines[line], isRDoc);
                 chunkOptions = getChunkOptions(lines[line], isRDoc);
                 chunkEval = getChunkEval(chunkOptions);
             }
         } else {
-            if (isChunkEndLine(lines[line], isRDoc)) {
+            if (isChunkEndLine(lines[line], isRDoc, chunkFenceLength)) {
                 finishChunk(isRDoc ? line - 1 : line, line - 1);
                 // An R marker ends the previous chunk and starts the next one,
                 // including when the marker is the document's final line.
diff --git a/src/test/suite/chunks.test.ts b/src/test/suite/chunks.test.ts
index 3e5cfa4ae..75e455c1f 100644
--- a/src/test/suite/chunks.test.ts
+++ b/src/test/suite/chunks.test.ts
@@ -24,6 +24,44 @@ suite('R code chunk boundaries', () => {
         assert.deepStrictEqual(await chunkCode('```{r}\nx <- 1\n```', 'rmd'), ['x <- 1']);
     });
 
+    test('keeps a longer outer fence open through a shorter inner example', async () => {
+        const text = '````{verbatim}\n\n```{r}\nfoo <- 1\n```\n\n````';
+        const document = await vscode.workspace.openTextDocument({
+            language: 'rmd',
+            content: text,
+        });
+        const chunks = getChunks(document);
+        assert.strictEqual(chunks.length, 1);
+        assert.strictEqual(chunks[0].language, 'verbatim');
+        assert.strictEqual(chunks[0].startLine, 0);
+        assert.strictEqual(chunks[0].endLine, 6);
+        assert.deepStrictEqual(document.getText(chunks[0].codeRange).split('\n'), [
+            '',
+            '```{r}',
+            'foo <- 1',
+            '```',
+            '',
+        ]);
+    });
+
+    test('ends a chunk on a longer fence and resumes with the next real chunk', async () => {
+        assert.deepStrictEqual(await chunkCode('```{r}\nx <- 1\n````', 'rmd'), ['x <- 1']);
+        const nestedThenReal =
+            '````{verbatim}\n\n```{r}\nfoo <- 1\n```\n\n````\n```{r}\nx <- 1\n```';
+        assert.deepStrictEqual(await chunkCode(nestedThenReal, 'rmd'), [
+            '\n```{r}\nfoo <- 1\n```\n',
+            'x <- 1',
+        ]);
+    });
+
+    test('ignores info strings, bare fences, and unclosed R Markdown chunks', async () => {
+        assert.deepStrictEqual(await chunkCode('```{r}\nx <- 1\n``` label\n```', 'rmd'), [
+            'x <- 1\n``` label',
+        ]);
+        assert.deepStrictEqual(await chunkCode('```\ncode\n```', 'rmd'), []);
+        assert.deepStrictEqual(await chunkCode('```{r}\nx <- 1', 'rmd'), []);
+    });
+
     test('section headers end an R chunk without dropping its preceding line', async () => {
         assert.deepStrictEqual(await chunkCode('# %%\nx <- 1\n# section ----'), ['x <- 1']);
     });