diff --git a/SYCL/SpecConstants/2020/host_apis.cpp b/SYCL/SpecConstants/2020/host_apis.cpp
index 28be5a6ca1..e58e95056d 100644
--- a/SYCL/SpecConstants/2020/host_apis.cpp
+++ b/SYCL/SpecConstants/2020/host_apis.cpp
@@ -31,10 +31,6 @@ const static sycl::specialization_id<TestStruct2> SpecConst5{
 int main() {
   sycl::queue Q;
 
-  // No support for host device so far
-  if (Q.is_host())
-    return 0;
-
   // The code is needed to just have device images in the executable
   if (0) {
     Q.submit([](sycl::handler &CGH) { CGH.single_task<Kernel1Name>([] {}); });
diff --git a/SYCL/SpecConstants/2020/kernel-bundle-api.cpp b/SYCL/SpecConstants/2020/kernel-bundle-api.cpp
index 0278043535..900da6fe09 100644
--- a/SYCL/SpecConstants/2020/kernel-bundle-api.cpp
+++ b/SYCL/SpecConstants/2020/kernel-bundle-api.cpp
@@ -9,7 +9,6 @@
 //
 // RUN: %clangxx -fsycl -fsycl-targets=%sycl_triple %s -o %t.out \
 // RUN:          -fsycl-dead-args-optimization
-// FIXME: SYCL 2020 specialization constants are not supported on host device
 // RUN: %CPU_RUN_PLACEHOLDER %t.out
 // RUN: %GPU_RUN_PLACEHOLDER %t.out
 // FIXME: ACC devices use emulation path, which is not yet supported
diff --git a/SYCL/SpecConstants/2020/non_native/Inputs/common.cpp b/SYCL/SpecConstants/2020/non_native/Inputs/common.cpp
index 94bf445f11..c8e3cc6ac5 100644
--- a/SYCL/SpecConstants/2020/non_native/Inputs/common.cpp
+++ b/SYCL/SpecConstants/2020/non_native/Inputs/common.cpp
@@ -18,10 +18,6 @@ const static sycl::specialization_id<short> SpecConst4{42};
 int main() {
   sycl::queue Q;
 
-  // No support for host device so far
-  if (Q.is_host())
-    return 0;
-
   {
     sycl::buffer<int, 1> Buf{sycl::range{1}};
     Q.submit([&](sycl::handler &CGH) {