"It has taken me longer than I thought to be OK but I'm almost recovered and I'm looking forward to getting back on the field. I'm training to get back to being at 100 per cent, great challenges are coming this year and I hope we can see each other again," he added.
Since testing negative last week he has trained alone at PSG's headquarters.
According to ESPN Argentina the former Barcelona attacker will miss this weekend's home Ligue 1 game against Brest.
Messi's club team-mates including Angel Di Maria, Gianluigi Donnarumma and Julian Draxler have also tested positive for coronavirus since the Christmas break.
The Parisians host Real Madrid in the first leg of their Champions League last 16 tie on 15 February.