HOUSTON, June 23 (Reuters) - Allen Stanford, the Texas financier accused of a $7 billion fraud, is due to appear at a detention hearing in Houston on Thursday, a spokeswoman for the U.S. Attorney's office in Houston said on Tuesday.

Stanford is due in U.S. District Court at 1000 CDT, she said.

Stanford was indicted last week on 21 counts of fraud, conspiracy and obstruction charges.

Federal prosecutors have accused him running a massive scheme involving certificates of deposit issued by his offshore bank in Antigua.

Stanford was arrested at his girlfriend's home in Virginia on Thursday. He has been in federal custody while making the trip back to Houston where the criminal charges were filed. (Reporting by Anna Driver)