Matthews is set to return from a two-month absence from a hamstring injury when Celtic receive the Clydesdale Bank Premier League trophy following their last home game of the season against St Johnstone on Saturday.
The Welshman, who has not played since Celtic's Champions League defeat by Juventus in Turin on March 6, is also hoping to be back to his best form for the William Hill Scottish Cup final against Hibernian at the end of the month.
He said: "I've been training for the last couple of days and today so I will hopefully be fit for the weekend. I'm looking forward to the Scottish Cup final and hopefully I can stay fit and won't get a recurrence of the injury.
"We won the league a couple of weeks ago and we have all been looking forward to getting the trophy. It will be great to get the trophy in front of our home fans. I'm sure it will be a full house to see us lift it.
"The fans have been brilliant all season and I'm sure there will be a party atmosphere but we have got to win the game first."
Celtic have rested players in their last two games, a defeat by Motherwell and a 1-1 draw with Ross County, after clinching the title. But the early holidays are over and Celtic are looking to increase their intensity before facing Hibs in the cup final on May 26.
Matthews, who trained with his team-mates at Celtic Park on Monday in front of thousands of families at the club's open day, said: "We have had a great season so far. The Champions League has been brilliant and we have comfortably won the league so hopefully we can do the double, which would be great for us and the fans.
"It's a big game and you want to win every tournament you are in. We are 100% focused on what we need to do and hopefully we can get the win."