diff --git a/testsuite/fixtures/toolchain_index/cr/crate_non_virt/crate_non_virt-1.0.0.toml b/testsuite/fixtures/toolchain_index/cr/crate_non_virt/crate_non_virt-1.0.0.toml
new file mode 100644
index 000000000..3d2c273f3
--- /dev/null
+++ b/testsuite/fixtures/toolchain_index/cr/crate_non_virt/crate_non_virt-1.0.0.toml
@@ -0,0 +1,9 @@
+description = "A crate with no providers elsewhere"
+name = "crate_non_virt"
+version = "1.0.0"
+maintainers = ["alejandro@mosteo.com"]
+maintainers-logins = ["mylogin"]
+
+[origin]
+url = "file:../../../crates/libhello_1.0.0.tgz"
+hashes = ["sha512:99fa3a55540d0655c87605b54af732f76a8a363015f183b06e98aa91e54c0e69397872718c5c16f436dd6de0fba506dc50c66d34a0e5c61fb63cb01fa22f35ac"]
diff --git a/testsuite/tests/build/hashes/compiler-input/test.py b/testsuite/tests/build/hashes/compiler-input/test.py
index 14a7f4c9a..a22231b46 100644
--- a/testsuite/tests/build/hashes/compiler-input/test.py
+++ b/testsuite/tests/build/hashes/compiler-input/test.py
@@ -9,12 +9,14 @@
 from drivers.builds import clear_builds_dir, hash_input
 from drivers import builds
 
+target_crate = "crate_non_virt"
+
 
 def check_hash(signature: str) -> None:
     """
     Check that the given signature is present in the hash inputs
     """
-    assert_match(f".*{signature}.*", hash_input("crate_real"))
+    assert_match(f".*{signature}.*", hash_input(target_crate))
 
 
 # The first test is to check that the external compiler is used when no
@@ -25,7 +27,7 @@ def check_hash(signature: str) -> None:
 
 # Init a crate without explicit compiler dependency
 init_local_crate("xxx")
-alr_with("crate_real")  # A regular crate in the index
+alr_with(target_crate)  # A regular crate in the index
 builds.sync()           # Ensure the hash inputs are written to disk
 
 # Check the external compiler is in the hash inputs
@@ -47,8 +49,8 @@ def check_hash(signature: str) -> None:
 # Next, check with an explicit compiler in the dependencies. Note that we give
 # the virtual dependency, but the actual native one is used for the hash.
 
-clear_builds_dir()
 alr_with("gnat=7777")  # Downgrade the compiler with an explicit dependency
+clear_builds_dir()
 builds.sync()
 
 # Check the expected compiler is in the hash inputs
diff --git a/testsuite/tests/solver/compiler-installed/test.py b/testsuite/tests/solver/compiler-installed/test.py
index bed0c4c67..7a9edbb42 100644
--- a/testsuite/tests/solver/compiler-installed/test.py
+++ b/testsuite/tests/solver/compiler-installed/test.py
@@ -34,7 +34,7 @@
 # Check that requesting a version different to the one externally available
 # results in a complete solution but with installation warning
 alr_with("gnat", delete=True, manual=False)
-p = run_alr("with", f"gnat/={version}", quiet=False, force=True)
+p = run_alr("with", f"gnat/={version}", quiet=False)
 assert_match(".*download of a toolchain not currently installed", p.out)
 match_solution(f"gnat=8888.0.0 (gnat_native) (origin: binary_archive)",
                escape=True)