diff --git a/sound/soc/codecs/wm_adsp.c b/sound/soc/codecs/wm_adsp.c
index c01e31175015..bd60ceebb6a9 100644
--- a/sound/soc/codecs/wm_adsp.c
+++ b/sound/soc/codecs/wm_adsp.c
@@ -823,6 +823,23 @@ static int wm_adsp_request_firmware_files(struct wm_adsp *dsp,
 		}
 	}
 
+	/* Check system-specific bin without wmfw before falling back to generic */
+	if (dsp->wmfw_optional && system_name) {
+		if (asoc_component_prefix)
+			wm_adsp_request_firmware_file(dsp, coeff_firmware, coeff_filename,
+						      cirrus_dir, system_name,
+						      asoc_component_prefix, "bin");
+
+		if (!*coeff_firmware)
+			wm_adsp_request_firmware_file(dsp, coeff_firmware, coeff_filename,
+						      cirrus_dir, system_name,
+						      NULL, "bin");
+
+		if (*coeff_firmware)
+			return 0;
+	}
+
+	/* Check legacy location */
 	if (!wm_adsp_request_firmware_file(dsp, wmfw_firmware, wmfw_filename,
 					   "", NULL, NULL, "wmfw")) {
 		wm_adsp_request_firmware_file(dsp, coeff_firmware, coeff_filename,
@@ -830,38 +847,15 @@ static int wm_adsp_request_firmware_files(struct wm_adsp *dsp,
 		return 0;
 	}
 
+	/* Fall back to generic wmfw and optional matching bin */
 	ret = wm_adsp_request_firmware_file(dsp, wmfw_firmware, wmfw_filename,
 					    cirrus_dir, NULL, NULL, "wmfw");
-	if (!ret) {
+	if (!ret || dsp->wmfw_optional) {
 		wm_adsp_request_firmware_file(dsp, coeff_firmware, coeff_filename,
 					      cirrus_dir, NULL, NULL, "bin");
 		return 0;
 	}
 
-	if (dsp->wmfw_optional) {
-		if (system_name) {
-			if (asoc_component_prefix)
-				wm_adsp_request_firmware_file(dsp, coeff_firmware, coeff_filename,
-							      cirrus_dir, system_name,
-							      asoc_component_prefix, "bin");
-
-			if (!*coeff_firmware)
-				wm_adsp_request_firmware_file(dsp, coeff_firmware, coeff_filename,
-							      cirrus_dir, system_name,
-							      NULL, "bin");
-		}
-
-		if (!*coeff_firmware)
-			wm_adsp_request_firmware_file(dsp, coeff_firmware, coeff_filename,
-						      "", NULL, NULL, "bin");
-
-		if (!*coeff_firmware)
-			wm_adsp_request_firmware_file(dsp, coeff_firmware, coeff_filename,
-						      cirrus_dir, NULL, NULL, "bin");
-
-		return 0;
-	}
-
 	adsp_err(dsp, "Failed to request firmware <%s>%s-%s-%s<-%s<%s>>.wmfw\n",
 		 cirrus_dir, dsp->part, dsp->fwf_name, wm_adsp_fw[dsp->fw].file,
 		 system_name, asoc_component_prefix);