diff --git a/commonmark/src/main/java/org/commonmark/internal/inline/BackticksInlineParser.java b/commonmark/src/main/java/org/commonmark/internal/inline/BackticksInlineParser.java
@@ -38,8 +38,12 @@ public ParsedInline tryParse(InlineParserState inlineParserState) {
         while (scanner.find('`') > 0) {
             var beforeClosing = scanner.position();
             var length = scanner.matchMultiple('`');
-            // Keep track of last position of backticks run of this length
-            backtickPositions.put(length, beforeClosing);
+            // Keep track of last position of backticks run of this length. Once the whole input
+            // has been scanned, the map already holds the last positions, so don't overwrite them
+            // with earlier ones.
+            if (!scannedToEnd) {
+                backtickPositions.put(length, beforeClosing);
+            }
             if (length == openingLength) {
                 Code node = new Code();
 

diff --git a/commonmark/src/test/java/org/commonmark/test/SpecialInputTest.java b/commonmark/src/test/java/org/commonmark/test/SpecialInputTest.java
@@ -456,4 +456,11 @@ public void emphasisAfterHardLineBreak() {
                 Foo</p>
                 """);
     }
+
+    @Test
+    public void codeSpansAfterUnclosedBackticks() {
+        assertRendering("`` `a` `c`", "<p>`` <code>a</code> <code>c</code></p>\n");
+        assertRendering(
+                "`` `a` `c` `e`", "<p>`` <code>a</code> <code>c</code> <code>e</code></p>\n");
+    }
 }