Stoke are yet to address the issue of Victor Moses' future, with the winger having made a bright start to a loan spell.
Millwall boss Ian Holloway is ready to loan out some fringe players to free up room in his squad for some fresh faces.
The 20-year-old, equally capable in midfield or in the full-back positions, will stay on the south coast until January 2 and is eligible to be included in the squad when the Cherries host Brighton on Saturday lunchtime.
He made his Premier League debut as a second-half substitute against Manchester United in January 2012 before making appearances in the FA Cup and Capital One Cup.
Yennaris had previously spoken of his need for regular football and he now looks set to be handed that chance to shine.