The 21-year-old was recalled early from his three-month spell with Rotherham after finding first-team chances hard to come by at the New York Stadium.
However, Trotters boss Dougie Freedman will hope Eaves can get more of an opportunity at Shrewsbury where he spent time on loan last season, scoring six times in 10 outings.
Eaves' deal with the Shrews will run until January 5.
- Sports & Recreation
- Dougie Freedman