After battling injuries in 2018, the 21-year old made a return to the senior team last week to replace the injured Alex Pearce, collecting 24 disposals and taking eight marks.
The Dockers are reportedly “desperate” to keep Logue and see him as a key part of their long-term future.
However, several rival clubs, including St Kilda, are expected to come calling should he hold out signing a new deal in the second half of the season.
Logue is one of nearly 20 Dockers to come out of contract at the end of the season, in a list that includes Stephen Hill, David Mundy, Harley Bennell, Hayden Ballantyne, Aaron Sandilands, Shane Kersten and Cam McCarthy.
Hill is another name that has drawn interest from other clubs, recently getting linked to the Gold Coast.