Brooklyn Nets star James Harden is hopeful to play Game 5 against Milwaukee and will test his right hamstring prior to tip on Tuesday night, sources told ESPN.

Harden, pushing for a chance to play, participated in the Nets shootaround on Tuesday morning with improvement in his right hamstring and that prompted the team to upgrade his status from doubtful to questionable for Game 5 tonight, sources said.

The Nets are tied 2-2 in the Eastern Conference semifinal series with the Bucks, and are preparing to be without guard Kyrie Irving (right ankle sprain) for the rest of the series, sources said. The Nets haven't ruled Irving out beyond Game 5, but Harden is clearly much closer to a return for the Nets.

Brooklyn coach Steve Nash said Sunday that the team would try to approach the injuries as isolated incidents and not let Irving's ankle sprain rush Harden back to the floor before his hamstring is fully healed. Harden was injured in the first minute of Game 1 of the Nets' series against the Bucks on June 5.

Irving was injured midway through the second quarter of Sunday's Game 4 in Milwaukee when he landed awkwardly on Giannis Antetokounmpo's foot after making a layup over Jrue Holiday. Antetokounmpo crashed the paint in what appeared to be an attempt to help Holiday, who was the primary defender.

Irving remained on the ground for several minutes as Nash and the team's athletic trainers attended to him. Eventually, Irving walked to the locker room without assistance but was limping. He left the arena in a walking boot and on crutches. An MRI on Monday confirmed Irving's ankle sprain.

The Nets have battled injuries all season. The Big 3 of Harden, Irving and Kevin Durant played just eight games together in the regular season and six games together in the playoffs -- including the game when Harden was injured. Harden missed 18 games in the regular season with a hamstring strain and before that, he missed two with hamstring tightness.

ESPN's Malika Andrews contributed to this report.