The Hoops have already secured the Scottish Premier League title and Welsh right-back Matthews is intent on returning to the first team from a hamstring injury to help the Glasgow giants beat Hibernian in the Scottish Cup on May 26.
"It's been a great season so far so hopefully we can finish on a high and get the win we need," Matthews, who has not played since March, told Sky Sports News.
"We know it's going to be a tough game but we know what we've got to do to get the win so hopefully we can do it.
"It'll be brilliant (to do the double). We haven't done it for a few years and with the Champions League win as well, if we can top it off with the cup, we've had a great season, we know that.
"So we'll just fully focus on what we need to do on that day and we can beat Hibs hopefully."