Sami, who was hit on the toe by a local bowler during their first practice session on Sunday, failed to recover from the injury and missed Pakistan's warm-up match against defending champions Sri Lanka.
"There's still no word on his fitness and we're not sure whether he would be available for the first match," Pakistan team's media manager told reporters.
He, however, said the injury was "minor" and team physio Dr Sohail Saleem said Sami did not require any scan or MRI.
"He's under ice pack treatment and expected to be fit soon," he said after their 15-run win over the Sri Lanka on Monday.
Meanwhile, Sri Lanka fast bowler Lasith Malinga, recovering from a troubled left knee, would join the squad later on Tuesday.
"He's (Malinga) flying in on Tuesday night and would be available for selection (for the opening match against Afghanistan on March 17)," Sri Lanka team manager said.