McDonagh was acquired by the Lightning along with J.T. Miller from the New York Rangers on trade deadline day February 26 in exchange for F Vladislav Namestnikov, prospects F Brett Howden and D Libor Hajek and a pair of high draft picks in upcoming drafts.
Miller has immediately made an impact in the Lightning lineup, tallying two goals and three assists in five games while quickly developing chemistry with linemates Yanni Gourde and Brayden Point.
McDonagh has patiently waited for his turn to join his new team on the ice for a game but admits it's been frustrating not being able to show what he can do.
"Changing to a new team, you're excited," McDonagh said. "You want to get comfortable around the guys and up to speed with the way things are done here and the way they play. It's been a bit challenging there mentally, but at the same time, I'm just trying to control what I can, getting healthy so I can go out there and play when the time's ready."
McDonagh has tallied two goals and 24 assists in 49 games with the Rangers this season.
Another injured Lightning player, forward Ondrej Palat, is also getting closer to returning but will likely need more time than McDonagh.
Palat participated in Friday's practice session but was in a red no-contact jersey, meaning he still hasn't been cleared for contact. Palat has been getting some extra work of late prior to practices with Lightning assistant coach Brad Lauer before joining his teammates for training sessions.
"It's been a tough time not playing," Palat said. "But I'm happy now I can be out there with the guys and get involved in the drills and stuff like that. It's nice."
Palat has missed 22 games since suffering a lower-body injury in a loss at Minnesota on January 20. Palat was scheduled to be out six to eight weeks; Saturday will be week seven since he was injured.
"I feel better every (day), but I don't want to rush anything, make sure I'm 100 percent and when I'm ready, I'm sure I'll want to play a couple games before playoffs."
Palat is one of Tampa Bay's best two-way forwards and has recorded eight goals and 22 assists in 46 games this season.
"It's been frustrating, but the guys have been playing really well," Palat said. "We're in a good position, and there's no rush to get back."