diff --git a/CHANGELOG.md b/CHANGELOG.md
index e4b4bbf..eef708f 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -4,6 +4,13 @@ All notable changes to this project will be documented in this file.
 The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/),
 and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).
 
+## Unreleased
+
+### Fixed
+
+ - Fix a bug that prevented some wasm32 wheel to be recognized as compatible with pyodide
+  [#159](https://github.com/pyodide/micropip/pull/159)
+
 ## [0.7.1] - 2024/11/11
 
 ### Fixed
diff --git a/micropip/_utils.py b/micropip/_utils.py
index 1167a01..70d4724 100644
--- a/micropip/_utils.py
+++ b/micropip/_utils.py
@@ -2,7 +2,7 @@
 import json
 from importlib.metadata import Distribution
 from pathlib import Path
-from sysconfig import get_platform
+from sysconfig import get_config_var, get_platform
 
 from packaging.requirements import Requirement
 from packaging.tags import Tag
@@ -62,8 +62,15 @@ def get_files_in_distribution(dist: Distribution) -> set[Path]:
 
 
 @functools.cache
-def sys_tags() -> list[Tag]:
-    return list(sys_tags_orig())
+def sys_tags() -> tuple[Tag, ...]:
+    new_tags = []
+    abi_version = get_config_var("PYODIDE_ABI_VERSION")
+    pyodide_platform_tag = f"pyodide_{abi_version}_wasm32"
+    for tag in sys_tags_orig():
+        if "emscripten" in tag.platform:
+            new_tags.append(Tag(tag.interpreter, tag.abi, pyodide_platform_tag))
+        new_tags.append(tag)
+    return tuple(new_tags)
 
 
 @functools.cache
diff --git a/micropip/package_index.py b/micropip/package_index.py
index 526db89..3e07d8c 100644
--- a/micropip/package_index.py
+++ b/micropip/package_index.py
@@ -214,6 +214,9 @@ def _fast_check_incompatibility(filename: str) -> bool:
     if not filename.endswith(".whl"):
         return False
 
+    if filename.endswith("wasm32.whl") and sys.platform == "emscripten":
+        return True
+
     if sys.platform not in filename and not filename.endswith("-none-any.whl"):
         return False
 
diff --git a/tests/test_utils.py b/tests/test_utils.py
index 51de135..7d0522b 100644
--- a/tests/test_utils.py
+++ b/tests/test_utils.py
@@ -3,6 +3,7 @@
 
 import pytest
 from conftest import CPVER, EMSCRIPTEN_VER, PLATFORM
+from pytest_pyodide import run_in_pyodide
 
 import micropip._utils as _utils
 
@@ -103,6 +104,18 @@ def test_check_compatible(mock_platform, interp, abi, arch, ctx):
         check_compatible(wheel_name)
 
 
+@run_in_pyodide
+def test_check_compatible_wasm32(selenium_standalone_micropip):
+    """
+    Here we check in particular that pyodide_2024_0_wasm32 wheels are seen as
+    compatible as the platform is emscripten
+    """
+    from micropip._utils import check_compatible
+
+    wheel_name = "pywavelets-1.8.0.dev0-cp312-cp312-pyodide_2024_0_wasm32.whl"
+    check_compatible(wheel_name)
+
+
 _best_tag_test_cases = (
     "package, version, incompatible_tags, compatible_tags",
     # Tests assume that `compatible_tags` is sorted from least to most compatible: