diff --git a/geopandas/tools/_show_versions.py b/geopandas/tools/_show_versions.py
index 3d03ca4..c24ab32 100644
--- a/geopandas/tools/_show_versions.py
+++ b/geopandas/tools/_show_versions.py
@@ -48,8 +48,14 @@ def _get_C_info():
         geos_version = "{}.{}.{}".format(*shapely._buildcfg.geos_version)
         geos_dir = shapely._buildcfg.geos_library_path
     except Exception:
-        geos_version = None
-        geos_dir = None
+        try:
+            from shapely import geos_version_string
+
+            geos_version = geos_version_string
+            geos_dir = None
+        except Exception:
+            geos_version = None
+            geos_dir = None
 
     try:
         import fiona
@@ -64,6 +70,22 @@ def _get_C_info():
     except Exception:
         gdal_dir = None
 
+    if gdal_version is None:
+        try:
+            import pyogrio
+
+            gdal_version = pyogrio.__gdal_version_string__
+            gdal_dir = None
+        except Exception:
+            pass
+        try:
+            # get_gdal_data_path is only available in pyogrio >= 0.4.2
+            from pyogrio import get_gdal_data_path
+
+            gdal_dir = get_gdal_data_path()
+        except Exception:
+            pass
+
     blob = [
         ("GEOS", geos_version),
         ("GEOS lib", geos_dir),