The Sun says Davenport is poised to join Bolton for £3million today.
Wanderers boss Gary Megson finally agreed a fee with cash-strapped West Ham last night after 48 hours of haggling.
Megson initially offered £1.5m for the defender.
Davenport, 26, could make his debut against Arsenal on Saturday.
He clashed with Hammers boss Gianfranco Zola before last month's game with Stoke and was told he could leave Upton Park.