Aaron Hernandez -- Fights Murder Conviction ... Lying Juror Had It Out for Me

Aaron Hernandez is throwing the most desperate Hail Mary ever ... trying to challenge his murder conviction by claiming one of the jurors may have had it out for him BEFORE the trial started.

Aaron's legal team just filed new court docs in an apparent effort to find a flaw in the Odin Lloyd murder case -- in the hopes Hernandez could get his murder conviction overturned.

Hernadez's main argument -- his lawyer says he received a tip from an anonymous woman AFTER the verdict ... saying she recognized one of the jurors whose ID was revealed on TV.

Aaron's lawyer says the woman also claimed she could prove the juror was familiar with the Lloyd murder and was "hoping" to be on the Hernandez jury.

If true, AH's lawyer claims it would mean the juror would have LIED during voir dire when asked if he/she had knowledge about the case.

The problem -- the lawyer doesn't know the mystery woman's identity ... since she called him from a blocked number and refused to give her full name because she was afraid.

Now, the judge will rule on whether or not the court should look into the matter further.