updated 04/22/2013 AT 8:00 AM ET
•originally published 04/22/2013 AT 10:20 AM ET
“He’s such an amazing person, and it takes a lot to be able to admit that you have a problem and then seek help,” Rivera, 26, told PEOPLE at the GLAAD Media Awards in Los Angeles on Saturday.
“We’re all one big family, and he’s a member of our family so we want to see him better,” said Rivera, who plays Santana Lopez on the Fox show, now in its fifth season.
The show’s creator, Ryan Murphy, has also publicly voiced his support for Monteith, 30.
“I am so proud of Cory Monteith and love and support him 100 [percent],” Murphy Tweeted on April 1.