Welker, who has been recovering from a torn ACL in his left knee, will be able to take part in all drills, including those requiring contact, the newspaper reported, citing an NFL source.
Earlier, Boston-area media reports said Welker, who had surgery in February to repair ligament damage suffered in the last game of the 2009 regular season, would be expected to take part in camp.
And the Boston Herald reported that Welker could start camp on the physically unable to perform list as a precaution, depending on the Patriots' medical evaluation of his recovery.
Welker has been an important part of the Patriots' offense over the last three years, catching more than 100 passes and gaining 1,000-plus yards receiving in all three of his seasons in Foxborough.
He set career highs with 123 catches and 1,348 receiving yards in 2009.