Dupuis, 36 was diagnosed Nov. 9 after complaining of discomfort in his chest and did not play again in 2014-15.
"The blood clot has dissolved, and the doctors have recommended a blood thinner medication that will allow him to play," Penguins general manager Jim Rutherford said in a statement. "It's a big step forward for Pascal, and we're all excited for him."
Dupuis has accrued 188 goals and 217 assists in a 14-year career for four teams. He has played for the Penguins since 2007-08, when he arrived in a trade from the Atlanta Thrashers.
Pittsburgh lost to the New York Rangers in the first round of the Eastern Conference playoffs last month.
- Alex Putterman