Hyndman made six appearances under Glasgow Rangers boss Graeme Murty when last at Ibrox.
Former Rangers loanee Emerson Hyndman is set for a return to Ibrox, according to the Sun.
Hyndman scored or made eight goals in 18 appearances for Rangers last season, and is said to be heading back to Glasgow on another temporary deal.
The United States international has played just twice since his return to Bournemouth, amounting to 93 minutes of football.
And according to the Sun, Cherries manager Eddie Howe will allow Hyndman rejoin Rangers in a bid to build up his experience.
The 21-year-old played six times for Graeme Murty when last at Ibrox, and the Gers boss appears to have liked what he saw.
Should the move go ahead, Hyndman will become Murty's fifth signing since being handed the job until the end of the season.
Sean Goss, Jamie Murphy, Jason Cummings and Russell Martin have also arrived at Rangers on loan during the January transfer window.
Bournemouth are said to have beaten off competition from Celtic and Borussia Dortmund to sign Hyndman from Fulham at the start of last season.