diff --git a/.travis.yml b/.travis.yml
index c67c0cd33c..76cb1c5372 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -28,10 +28,6 @@ jobs:
       script:
         - tests/scripts/all.sh -k test_full_cmake_gcc_asan
 
-    - name: check compilation guards
-      script:
-        - tests/scripts/all.sh -k 'test_depends_*' 'build_key_exchanges'
-
     - name: macOS
       os: osx
       compiler: clang
diff --git a/ChangeLog.d/bugfix_PR3294.txt b/ChangeLog.d/bugfix_PR3294.txt
new file mode 100644
index 0000000000..a6ea75e05c
--- /dev/null
+++ b/ChangeLog.d/bugfix_PR3294.txt
@@ -0,0 +1,4 @@
+Bugfix
+   * Fix build failure in configurations where MBEDTLS_USE_PSA_CRYPTO is
+     enabled but ECDSA is disabled. Contributed by jdurkop. Fixes #3294.
+
diff --git a/library/pk.c b/library/pk.c
index 8ffbed2a9a..9a3bcb0dc6 100644
--- a/library/pk.c
+++ b/library/pk.c
@@ -591,6 +591,9 @@ int mbedtls_pk_wrap_as_opaque( mbedtls_pk_context *pk,
                                psa_algorithm_t hash_alg )
 {
 #if !defined(MBEDTLS_ECP_C)
+    ((void) pk);
+    ((void) handle);
+    ((void) hash_alg);
     return( MBEDTLS_ERR_PK_TYPE_MISMATCH );
 #else
     const mbedtls_ecp_keypair *ec;
diff --git a/library/pk_wrap.c b/library/pk_wrap.c
index 6bf3169743..903c53b9df 100644
--- a/library/pk_wrap.c
+++ b/library/pk_wrap.c
@@ -551,11 +551,12 @@ static int ecdsa_verify_wrap( void *ctx_arg, mbedtls_md_type_t md_alg,
     unsigned char buf[30 + 2 * MBEDTLS_ECP_MAX_BYTES];
     unsigned char *p;
     mbedtls_pk_info_t pk_info = mbedtls_eckey_info;
-    psa_algorithm_t psa_sig_md, psa_md;
+    psa_algorithm_t psa_sig_md = PSA_ALG_ECDSA_ANY;
     size_t curve_bits;
     psa_ecc_family_t curve =
         mbedtls_ecc_group_to_psa( ctx->grp.id, &curve_bits );
     const size_t signature_part_size = ( ctx->grp.nbits + 7 ) / 8;
+    ((void) md_alg);
 
     if( curve == 0 )
         return( MBEDTLS_ERR_PK_BAD_INPUT_DATA );
@@ -569,11 +570,6 @@ static int ecdsa_verify_wrap( void *ctx_arg, mbedtls_md_type_t md_alg,
     if( key_len <= 0 )
         return( MBEDTLS_ERR_PK_BAD_INPUT_DATA );
 
-    psa_md = mbedtls_psa_translate_md( md_alg );
-    if( psa_md == 0 )
-        return( MBEDTLS_ERR_PK_BAD_INPUT_DATA );
-    psa_sig_md = PSA_ALG_ECDSA( psa_md );
-
     psa_set_key_type( &attributes, PSA_KEY_TYPE_ECC_PUBLIC_KEY( curve ) );
     psa_set_key_usage_flags( &attributes, PSA_KEY_USAGE_VERIFY_HASH );
     psa_set_key_algorithm( &attributes, psa_sig_md );
@@ -910,6 +906,8 @@ static int pk_opaque_can_do( mbedtls_pk_type_t type )
             type == MBEDTLS_PK_ECDSA );
 }
 
+#if defined(MBEDTLS_ECDSA_C)
+
 /*
  * Simultaneously convert and move raw MPI from the beginning of a buffer
  * to an ASN.1 MPI at the end of the buffer.
@@ -992,11 +990,24 @@ static int pk_ecdsa_sig_asn1_from_psa( unsigned char *sig, size_t *sig_len,
     return( 0 );
 }
 
+#endif /* MBEDTLS_ECDSA_C */
+
 static int pk_opaque_sign_wrap( void *ctx, mbedtls_md_type_t md_alg,
                    const unsigned char *hash, size_t hash_len,
                    unsigned char *sig, size_t *sig_len,
                    int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
 {
+#if !defined(MBEDTLS_ECDSA_C)
+    ((void) ctx);
+    ((void) md_alg);
+    ((void) hash);
+    ((void) hash_len);
+    ((void) sig);
+    ((void) sig_len);
+    ((void) f_rng);
+    ((void) p_rng);
+    return( MBEDTLS_ERR_PK_FEATURE_UNAVAILABLE );
+#else /* !MBEDTLS_ECDSA_C */
     const psa_key_handle_t *key = (const psa_key_handle_t *) ctx;
     psa_key_attributes_t attributes = PSA_KEY_ATTRIBUTES_INIT;
     psa_algorithm_t alg = PSA_ALG_ECDSA( mbedtls_psa_translate_md( md_alg ) );
@@ -1027,6 +1038,7 @@ static int pk_opaque_sign_wrap( void *ctx, mbedtls_md_type_t md_alg,
 
     /* transcode it to ASN.1 sequence */
     return( pk_ecdsa_sig_asn1_from_psa( sig, sig_len, buf_len ) );
+#endif /* !MBEDTLS_ECDSA_C */
 }
 
 const mbedtls_pk_info_t mbedtls_pk_opaque_info = {
diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 596e1a96a9..578d03e3e5 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -1217,16 +1217,34 @@ component_test_depends_curves () {
     record_status tests/scripts/curves.pl
 }
 
+component_test_depends_curves_psa () {
+    msg "test/build: curves.pl with MBEDTLS_USE_PSA_CRYPTO defined (gcc)"
+    scripts/config.py set MBEDTLS_USE_PSA_CRYPTO
+    record_status tests/scripts/curves.pl
+}
+
 component_test_depends_hashes () {
     msg "test/build: depends-hashes.pl (gcc)" # ~ 2 min
     record_status tests/scripts/depends-hashes.pl
 }
 
+component_test_depends_hashes_psa () {
+    msg "test/build: depends-hashes.pl with MBEDTLS_USE_PSA_CRYPTO defined (gcc)"
+    scripts/config.py set MBEDTLS_USE_PSA_CRYPTO
+    record_status tests/scripts/depends-hashes.pl
+}
+
 component_test_depends_pkalgs () {
     msg "test/build: depends-pkalgs.pl (gcc)" # ~ 2 min
     record_status tests/scripts/depends-pkalgs.pl
 }
 
+component_test_depends_pkalgs_psa () {
+    msg "test/build: depends-pkalgs.pl with MBEDTLS_USE_PSA_CRYPTO defined (gcc)"
+    scripts/config.py set MBEDTLS_USE_PSA_CRYPTO
+    record_status tests/scripts/depends-pkalgs.pl
+}
+
 component_build_key_exchanges () {
     msg "test/build: key-exchanges (gcc)" # ~ 1 min
     record_status tests/scripts/key-exchanges.pl
diff --git a/tests/suites/test_suite_pk.function b/tests/suites/test_suite_pk.function
index 43b4914739..c6041b249f 100644
--- a/tests/suites/test_suite_pk.function
+++ b/tests/suites/test_suite_pk.function
@@ -775,8 +775,8 @@ void pk_ec_test_vec( int type, int id, data_t * key, data_t * hash,
     TEST_ASSERT( mbedtls_ecp_point_read_binary( &eckey->grp, &eckey->Q,
                                         key->x, key->len ) == 0 );
 
-    // MBEDTLS_MD_SHA1 is a dummy - it is ignored, but has to be other than MBEDTLS_MD_NONE.
-    TEST_ASSERT( mbedtls_pk_verify( &pk, MBEDTLS_MD_SHA1,
+    // MBEDTLS_MD_NONE is used since it will be ignored.
+    TEST_ASSERT( mbedtls_pk_verify( &pk, MBEDTLS_MD_NONE,
                             hash->x, hash->len, sig->x, sig->len ) == ret );
 
 exit: