NFL's Joseph Randle -- He Tried to Bribe Me Into Abortion ... Baby Mama Says

Dallas Cowboys RB Joseph Randle tried to pay his baby mama $20k to abort their child ... but she turned him down ... so says Randle's ex who's now going after the NFL player for child support.

TMZ Sports has learned ... Dalia Jacobs has filed court docs in Kansas demanding Randle fork over more than $5k-per-month to help pay for their 1-year-old son.

Jacobs says Randle has barely been involved in the kid's life ... and made it clear from the start he was not supportive of the pregnancy.

"When she told him she was pregnant, he offered her $5,000 ... then $10,000 ... followed by $20,000 to have the child aborted," Dalia's attorney Charlie O'Hara tells TMZ Sports.

Dalia obviously rejected the offer ... and says their relationship has a been a nightmare ever since.

In fact, it was Dalia who called police from a hotel in Wichita last weekend claiming Randle had a gun and was in fear for her life. Randle was arrested for marijuana possession (that charge has since been dropped) but cops are still investigating the allegations of domestic violence.