diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 676c80449..d1366e8ac 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -911,37 +911,61 @@ component_test_rsa_no_crt () {
     if_build_succeeded tests/context-info.sh
 }
 
-component_test_no_ctr_drbg () {
-    msg "build: Full minus CTR_DRBG"
+component_test_no_ctr_drbg_classic () {
+    msg "build: Full minus CTR_DRBG, classic crypto in TLS"
     scripts/config.py full
     scripts/config.py unset MBEDTLS_CTR_DRBG_C
+    scripts/config.py unset MBEDTLS_USE_PSA_CRYPTO
 
     CC=gcc cmake -D CMAKE_BUILD_TYPE:String=Asan .
     make
 
-    msg "test: Full minus CTR_DRBG - main suites"
+    msg "test: Full minus CTR_DRBG, classic crypto - main suites"
     make test
 
     # In this configuration, the TLS test programs use HMAC_DRBG.
     # The SSL tests are slow, so run a small subset, just enough to get
     # confidence that the SSL code copes with HMAC_DRBG.
-    msg "test: Full minus CTR_DRBG - ssl-opt.sh (subset)"
+    msg "test: Full minus CTR_DRBG, classic crypto - ssl-opt.sh (subset)"
     if_build_succeeded tests/ssl-opt.sh -f 'Default\|SSL async private.*delay=\|tickets enabled on server'
 
-    msg "test: Full minus CTR_DRBG - compat.sh (subset)"
+    msg "test: Full minus CTR_DRBG, classic crypto - compat.sh (subset)"
     if_build_succeeded tests/compat.sh -m tls1_2 -t 'ECDSA PSK' -V NO -p OpenSSL
 }
 
-component_test_no_hmac_drbg () {
-    msg "build: Full minus HMAC_DRBG"
+component_test_no_ctr_drbg_use_psa () {
+    msg "build: Full minus CTR_DRBG, PSA crypto in TLS"
     scripts/config.py full
-    scripts/config.py unset MBEDTLS_HMAC_DRBG_C
-    scripts/config.py unset MBEDTLS_ECDSA_DETERMINISTIC # requires HMAC_DRBG
+    scripts/config.py unset MBEDTLS_CTR_DRBG_C
+    scripts/config.py set MBEDTLS_USE_PSA_CRYPTO
 
     CC=gcc cmake -D CMAKE_BUILD_TYPE:String=Asan .
     make
 
-    msg "test: Full minus HMAC_DRBG - main suites"
+    msg "test: Full minus CTR_DRBG, USE_PSA_CRYPTO - main suites"
+    make test
+
+    # In this configuration, the TLS test programs use HMAC_DRBG.
+    # The SSL tests are slow, so run a small subset, just enough to get
+    # confidence that the SSL code copes with HMAC_DRBG.
+    msg "test: Full minus CTR_DRBG, USE_PSA_CRYPTO - ssl-opt.sh (subset)"
+    if_build_succeeded tests/ssl-opt.sh -f 'Default\|SSL async private.*delay=\|tickets enabled on server'
+
+    msg "test: Full minus CTR_DRBG, USE_PSA_CRYPTO - compat.sh (subset)"
+    if_build_succeeded tests/compat.sh -m tls1_2 -t 'ECDSA PSK' -V NO -p OpenSSL
+}
+
+component_test_no_hmac_drbg_classic () {
+    msg "build: Full minus HMAC_DRBG, classic crypto in TLS"
+    scripts/config.py full
+    scripts/config.py unset MBEDTLS_HMAC_DRBG_C
+    scripts/config.py unset MBEDTLS_ECDSA_DETERMINISTIC # requires HMAC_DRBG
+    scripts/config.py unset MBEDTLS_USE_PSA_CRYPTO
+
+    CC=gcc cmake -D CMAKE_BUILD_TYPE:String=Asan .
+    make
+
+    msg "test: Full minus HMAC_DRBG, classic crypto - main suites"
     make test
 
     # Normally our ECDSA implementation uses deterministic ECDSA. But since
@@ -949,17 +973,61 @@ component_test_no_hmac_drbg () {
     # instead.
     # Test SSL with non-deterministic ECDSA. Only test features that
     # might be affected by how ECDSA signature is performed.
-    msg "test: Full minus HMAC_DRBG - ssl-opt.sh (subset)"
+    msg "test: Full minus HMAC_DRBG, classic crypto - ssl-opt.sh (subset)"
     if_build_succeeded tests/ssl-opt.sh -f 'Default\|SSL async private: sign'
 
     # To save time, only test one protocol version, since this part of
     # the protocol is identical in (D)TLS up to 1.2.
-    msg "test: Full minus HMAC_DRBG - compat.sh (ECDSA)"
+    msg "test: Full minus HMAC_DRBG, classic crypto - compat.sh (ECDSA)"
     if_build_succeeded tests/compat.sh -m tls1_2 -t 'ECDSA'
 }
 
-component_test_psa_external_rng_no_drbg () {
-    msg "build: PSA_CRYPTO_EXTERNAL_RNG minus *_DRBG"
+component_test_no_hmac_drbg_use_psa () {
+    msg "build: Full minus HMAC_DRBG, PSA crypto in TLS"
+    scripts/config.py full
+    scripts/config.py unset MBEDTLS_HMAC_DRBG_C
+    scripts/config.py unset MBEDTLS_ECDSA_DETERMINISTIC # requires HMAC_DRBG
+    scripts/config.py set MBEDTLS_USE_PSA_CRYPTO
+
+    CC=gcc cmake -D CMAKE_BUILD_TYPE:String=Asan .
+    make
+
+    msg "test: Full minus HMAC_DRBG, USE_PSA_CRYPTO - main suites"
+    make test
+
+    # Normally our ECDSA implementation uses deterministic ECDSA. But since
+    # HMAC_DRBG is disabled in this configuration, randomized ECDSA is used
+    # instead.
+    # Test SSL with non-deterministic ECDSA. Only test features that
+    # might be affected by how ECDSA signature is performed.
+    msg "test: Full minus HMAC_DRBG, USE_PSA_CRYPTO - ssl-opt.sh (subset)"
+    if_build_succeeded tests/ssl-opt.sh -f 'Default\|SSL async private: sign'
+
+    # To save time, only test one protocol version, since this part of
+    # the protocol is identical in (D)TLS up to 1.2.
+    msg "test: Full minus HMAC_DRBG, USE_PSA_CRYPTO - compat.sh (ECDSA)"
+    if_build_succeeded tests/compat.sh -m tls1_2 -t 'ECDSA'
+}
+
+component_test_psa_external_rng_no_drbg_classic () {
+    msg "build: PSA_CRYPTO_EXTERNAL_RNG minus *_DRBG, classic crypto in TLS"
+    scripts/config.py full
+    scripts/config.py unset MBEDTLS_USE_PSA_CRYPTO
+    scripts/config.py set MBEDTLS_PSA_CRYPTO_EXTERNAL_RNG
+    scripts/config.py unset MBEDTLS_CTR_DRBG_C
+    scripts/config.py unset MBEDTLS_HMAC_DRBG_C
+    scripts/config.py unset MBEDTLS_ECDSA_DETERMINISTIC # requires HMAC_DRBG
+    scripts/config.py set MBEDTLS_ECP_NO_INTERNAL_RNG
+    make CFLAGS="$ASAN_CFLAGS -O2" LDFLAGS="$ASAN_CFLAGS"
+
+    msg "test: PSA_CRYPTO_EXTERNAL_RNG minus *_DRBG, classic crypto - main suites"
+    make test
+
+    # no SSL tests as they all depend on having a DRBG
+}
+
+component_test_psa_external_rng_no_drbg_use_psa () {
+    msg "build: PSA_CRYPTO_EXTERNAL_RNG minus *_DRBG, PSA crypto in TLS"
     scripts/config.py full
     scripts/config.py set MBEDTLS_PSA_CRYPTO_EXTERNAL_RNG
     scripts/config.py unset MBEDTLS_CTR_DRBG_C
@@ -968,10 +1036,8 @@ component_test_psa_external_rng_no_drbg () {
     scripts/config.py set MBEDTLS_ECP_NO_INTERNAL_RNG
     make CFLAGS="$ASAN_CFLAGS -O2" LDFLAGS="$ASAN_CFLAGS"
 
-    msg "test: PSA_CRYPTO_EXTERNAL_RNG minus *_DRBG"
+    msg "test: PSA_CRYPTO_EXTERNAL_RNG minus *_DRBG, PSA crypto - main suites"
     make test
-
-    # no SSL tests as they all depend on having a DRBG
 }
 
 component_test_psa_external_rng_use_psa_crypto () {