The Warriors flew Bogut to San Antonio.
Cousins was injured in Oklahoma City on the weekend and has undergone an MRI.
The team announced later on Tuesday that the test results were clean. Coach Steve Kerr previously had said the MRI was a precaution.
Cousins is considered day-to-day. The Warriors play Wednesday (AEDT) at Minnesota on a back-to-back and are home against Indiana on Friday.
Cousins has played in 21 games for Golden State, all starts, after missing about a calendar year because of a torn left Achilles tendon, suffered when he was with the New Orleans Pelicans. He is averaging 15.6 points and 7.9 rebounds for Golden State.
The four-time All-Star played Saturday in a win at Oklahoma City, posting 12 points, eight rebounds, six assists, two steals and two blocks in 27 minutes.
Bogut was an integral part of the Warriors’ 2015 championship team but they traded him in 2016 to clear salary space to sign All-Star Kevin Durant.
Durant will also return to action against the San Antonio Spurs, Kerr has told reporters.
Durant missed the team’s first two games – wins at Houston and Oklahoma City – of the current four-game road trip because of an ankle injury he suffered in a loss to Phoenix.
AAP, with Reuters