Webb will serve as the Jets’ backup quarterback to Josh McCown.
Webb, 23, is a former third-round pick of the Giants back in 2017. He was in the second year of his four-year, $3.61 million contract and set to make a base salary of $604,151 for the 2018 season when the Giants waived him coming out of the preseason.
The Jets later signed Webb to their practice squad.
During his four-year college career with Texas Tech and California, Webb recorded 841 completions on 1,367 attempts (61.5 percent) for 9,852 passing yards (7.2 YPA), 83 touchdowns and 34 interceptions.