"I know that he has been held overnight by police in Shrewsbury" in central England, said spokesman Tony Linkin, who didn't know whether Doherty had been arrested or charged.
A West Mercia Police spokesman refused to confirm whether the Babyshambles frontman was detained in a drug raid after the band's concert at Shrewsbury Music Hall late Saturday.
Doherty, 26, has reportedly been in and out of drug rehab.
British newspapers reported last week that Moss checked into the Meadows rehab clinic outside Phoenix. Pictures of Moss, 31, apparently snorting cocaine in a London music studio were published in the Daily Mirror tabloid last month (detectives searched the studio on Thursday, London's Metropolitan Police said Saturday.)
She has since lost modeling contracts with H&M, Burberry and Chanel.
In a statement, the model said she is addressing her problems and takes "full responsibility" for her actions.
Babyshambles canceled Sunday's sold-out show at the University of East Anglia.
"I've been told that two of the band members aren't available to play tonight," said Nick Rayns, entertainment manager for the UEA Students Union.