Wilkinson, Burden back for Toulon for European semi
Toulon's English fly-half Jonny Wilkinson (R) kicks the ball during the French Top 14 match against Clermont Auvergne at the Michelin stadium in Clermont-Ferrand, central France, on March 21, 2014 - by Thierry Zoccolan
The pair, out injured for the past two weeks, have reported fit and both turned out for training on Monday.
England international Wilkinson suffered a hamstring injury and South African Burden an elbow injury in Toulon's quarter-final with Leinster, and neither has played since.
But there were still doubts over second row forwards Ali Williams and Bakkies Botha.
"They're getting better all the time, we'll just have to see in the week if they are fit to play," Laporte said.
Williams has been out of action for a month with an arm injury, while Botha is recovering from an operation on a broken arm sustained in the bruising Top 14 encounter with Brive at the end of January.
Another South African, wing Bryan Habana, who withdrew from Toulon's 46-31 win over Perpignan on Saturday with a recurrence of the thigh muscle injury which has kept him out since November, should also be fit to play when Toulon take on Munster in Marseille's Stade Velodrome on Sunday.