The world number nine's fitness is a long-standing issue, and it is believed he is currently battling several injuries.
As such, the 28-year-old from Belgrade does not believe his body able to withstand the rigours of potential five-set matches.
World number one Novak Djokovic, Nenad Zimonjic and Viktor Troicki are still expected to compete at the tie in Idaho between April 5 and 7.
“Our team has a very strong team with the world number one at the helm. I am convinced that without me they can achieve fantastic results,” Tipsarevic said.