diff --git a/addons/xterm-addon-webgl/src/GlyphRenderer.ts b/addons/xterm-addon-webgl/src/GlyphRenderer.ts
index ab7773ef..202d4deb 100644
--- a/addons/xterm-addon-webgl/src/GlyphRenderer.ts
+++ b/addons/xterm-addon-webgl/src/GlyphRenderer.ts
@@ -119,7 +119,7 @@ export class GlyphRenderer extends Disposable {
 
     if (TextureAtlas.maxAtlasPages === undefined) {
       // Typically 8 or 16
-      TextureAtlas.maxAtlasPages = throwIfFalsy(gl.getParameter(gl.MAX_TEXTURE_IMAGE_UNITS) as number | null);
+      TextureAtlas.maxAtlasPages = Math.min(32, throwIfFalsy(gl.getParameter(gl.MAX_TEXTURE_IMAGE_UNITS) as number | null));
       // Almost all clients will support >= 4096
       TextureAtlas.maxTextureSize = throwIfFalsy(gl.getParameter(gl.MAX_TEXTURE_SIZE) as number | null);
     }