NFL Media's Albert Breers confirms that Gronkowski had encountered no setbacks as of the end of last week.
Breer compares Gronk's situation to that of Randy Moss in 2007, when the team held a valuable player out of preseason action because it wasn't worth the injury risk.
While it's true that Gronkowski and Wright are both listed as tight ends, they essentially play different positions.
At 6-foot-6 and 265 pounds, Gronkowski is a traditional in-line tight end with elite blocking ability in addition to his difference-making presence in the aerial attack.
At 6-foot-4 and 220 pounds, Wright is closer in size to Julio Jones. In fact, the Bucs were auditioning him as a slot receiver this summer.
A wide receiver at Rutgers, Wright is a "move" tight end similar to the role Aaron Hernandez played from 2010-2012. He might play a role in the Pats' passing game, but he can't stand in for Gronkowski as a blocker in "11" (one running back, one tight end) personnel packages.