The Dane sustained the injury at the GP de Marseillaise at the end of January and the damaged scaphoid required surgery.
But the 33-year-old was training again just a week later and he has now been given the go-ahead by team doctors for the 'Race to the Sun', which starts on March 3.
“I'm incredibly glad to be allowed to race again,” Bak said. “That's what I've trained for all winter.”
“I've trained well on my home trainer with some 'nasty' intervals, and the last few weeks put in many hours on the road.
"Of course I shall get beaten up on the climbs in Paris-Nice, but after a few days, I hope my diesel engine will go well.”