diff --git a/micropip/_utils.py b/micropip/_utils.py
index 9abab9d..ea1de85 100644
--- a/micropip/_utils.py
+++ b/micropip/_utils.py
@@ -190,14 +190,31 @@ def platform_to_version(platform: str) -> str:
     for tag in tags:
         if tag.abi in abis:
             abi_incompatible = False
-        break
+            break
     if abi_incompatible:
         abis_string = ",".join({tag.abi for tag in tags})
         raise ValueError(
             f"Wheel abi '{abis_string}' is not supported. Supported abis are 'abi3' and 'cp{version}'."
         )
 
-    raise ValueError(f"Wheel interpreter version '{tag.interpreter}' is not supported.")
+    # Check interpreter compatibility
+    current_version = int(version)
+    for tag in tags:
+        try:
+            wheel_version = int(tag.interpreter.removeprefix("cp"))
+            # abi3: forward compatible (wheel_version <= current_version)
+            # non-abi3: exact match required (wheel_version == current_version)
+            if (tag.abi == "abi3" and wheel_version <= current_version) or (
+                tag.abi != "abi3" and wheel_version == current_version
+            ):
+                return
+        except ValueError:
+            continue
+
+    interpreters_string = ",".join({tag.interpreter for tag in tags})
+    raise ValueError(
+        f"Wheel interpreter version '{interpreters_string}' is not supported."
+    )
 
 
 def validate_constraints(