Osuna was scheduled to come off the seven-day leave Monday. The 23-year-old was arrested May 8 for an alleged assault and subsequently placed on leave under MLB's domestic violence policy.
Osuna's next scheduled court appearance is June 18, so it's possible MLB continues to keep him on paid leave until at least that date. MLB policy does not require a conviction in order for a player to serve a suspension.
"Hopefully there's nothing there -- I love the kid, not because of what he has done for us on the field, but because of who he is and my relationship with him over the years," Blue Jays manager John Gibbons said, per Gregor Chisholm of MLB.com.
Osuna had recorded nine saves in 10 chances before going on leave, posting a 2.93 ERA and 1.11 WHIP.