Lobb was linked to a shock return to Greater Western Sydney last week, with the Giants showing some interest in luring the 28-year-old back to New South Wales.
Lobb remains contracted to Fremantle for a further two seasons on a reported $700,000-per-year, which would have made negotiations between the two clubs difficult.
Both Dockers football boss Peter Bell and Lobb's manager Colin Young recently stated their doubts in a move being finalised before Wednesday's deadline, with the latter now explaining to AFL.com.au's Callum Twomey that the two parties will not reach an agreement.
"We exhausted all avenues to try and assist GWS facilitate this trade in which we believe all parties would benefit in the long run," Young said in a statement.
"I advised all parties at 7.30pm Sunday evening by email that this trade would not get off the ground so we should all move on."
Lobb played 74 games for the Giants before moving west and joining Fremantle ahead of the 2019 season, where he has since played 45 matches.
The athletic forward/ruck was believed to be weighing up his options throughout the course of this season, however now looks destined to remain with the Western Australian club.