diff --git a/cibuildwheel/linux.py b/cibuildwheel/linux.py
index 500307b7..dba5c38d 100644
--- a/cibuildwheel/linux.py
+++ b/cibuildwheel/linux.py
@@ -152,14 +152,14 @@ def build(options: BuildOptions) -> None:
                         docker.copy_into(constraints_file, container_constraints_file)
                         dependency_constraint_flags = ['-c', container_constraints_file]
 
+                    log.step('Setting up build environment...')
+
                     env = docker.get_environment()
 
                     # put this config's python top of the list
                     python_bin = config.path / 'bin'
                     env['PATH'] = f'{python_bin}:{env["PATH"]}'
 
-                    log.step('Setting up build environment...')
-
                     env = options.environment.as_dictionary(env, executor=docker.environment_executor)
 
                     # check config python and pip are still on PATH
diff --git a/cibuildwheel/logger.py b/cibuildwheel/logger.py
index f188a71b..0ecfdf3c 100644
--- a/cibuildwheel/logger.py
+++ b/cibuildwheel/logger.py
@@ -52,9 +52,10 @@ class Logger:
 
     def build_start(self, identifier: str):
         c = self.colors
+        description = build_description_from_identifier(identifier)
         print()
-        print(f'{c.bold}Building {build_description_from_identifier(identifier)} wheel{c.end}')
-        print(f'Identifier: {c.bg_grey}{identifier}{c.end}')
+        print(f'{c.bold}{c.blue}Building {identifier} wheel{c.end}')
+        print(f'{description}')
         print()
 
         self.build_start_time = time.time()
@@ -66,7 +67,6 @@ class Logger:
 
         print()
         print('---')
-        print()
         self.build_start_time = None
 
     def step(self, step_description: str):