diff --git a/tests/CMakeLists.txt b/tests/CMakeLists.txt
index 0a923ace3..0d78ab997 100644
--- a/tests/CMakeLists.txt
+++ b/tests/CMakeLists.txt
@@ -50,7 +50,7 @@ list(APPEND test_c_bins
     grib_copy_message
     grib_packing_order
     grib_sh_imag
-    grib_sh_spectral_complex
+    grib_spectral
     grib_lam_bf
     grib_lam_gp)
 
@@ -126,7 +126,7 @@ if( HAVE_BUILD_TOOLS )
         bufr_rdbSubTypes
         grib_efas
         grib_sh_imag
-        grib_sh_spectral_complex
+        grib_spectral
         grib_levtype
         grib_typeOfLevel
         grib_grid_unstructured
@@ -443,7 +443,6 @@ else()
         julian
         bufr_check_descriptors
         grib_sh_imag
-        grib_sh_spectral_complex
         grib_2nd_order_numValues
         grib_sh_ieee64)
 
diff --git a/tests/grib_sh_spectral_complex.cc b/tests/grib_spectral.cc
similarity index 100%
rename from tests/grib_sh_spectral_complex.cc
rename to tests/grib_spectral.cc
diff --git a/tests/grib_sh_spectral_complex.sh b/tests/grib_spectral.sh
similarity index 84%
rename from tests/grib_sh_spectral_complex.sh
rename to tests/grib_spectral.sh
index 5985aa346..c4dbe1a3c 100755
--- a/tests/grib_sh_spectral_complex.sh
+++ b/tests/grib_spectral.sh
@@ -15,13 +15,13 @@ label="grib_spectral_test"
 output=output.$label.grib
 input_complex=$ECCODES_SAMPLES_PATH/sh_ml_grib2.tmpl
 
-$EXEC ${test_dir}/grib_sh_spectral_complex $input_complex $output
+$EXEC ${test_dir}/grib_spectral $input_complex $output
 
 rm -f $output
 
 # Now try spectral simple
 input_simple=$label.simple.grib
 ${tools_dir}/grib_set  -rs packingType=spectral_simple $input_complex $input_simple
-$EXEC ${test_dir}/grib_sh_spectral_complex $input_simple $output
+$EXEC ${test_dir}/grib_spectral $input_simple $output
 
 rm -f $output $input_simple