Moeen made his Test debut in 2014 and played his last Test against India at the Oval in September 2021
The allrounder is isolating at home after being diagnosed with the disease on his return from a trip to the United States.
As per the Managed Event Environment protocol for the series, Shakib underwent a PCR and a rapid antigen test as a pre-requisite for joining the team. Both tests have returned positive results on Tuesday, a media statement read.
He will now recover in self isolation and will be re-tested in due course, it added.
The first game against the islanders will begin in Chattogram on May 15.
The teams are slated to play two Tests in the series.