Webb was drafted by the Los Angeles Chargers in the seventh round, 241st overall, of the 2021 NFL draft.[6] On May 16, 2021, he signed his four-year rookie contract with Los Angeles.[7] He was placed on injured reserve on November 26, 2021.
On August 30, 2022, Webb was waived by the Chargers and signed to the practice squad the next day.[8][9] He signed a reserve/future contract on January 17, 2023.[10]
Webb was waived on August 29, 2023, then re-signed to the practice squad on October 10.[11][12] He was released on November 15.[13]