Street tore his ACL at his pro day and was unlikely to play in 2018. Street was drafted by the San Francisco 49ers in the fourth round (128th overall) of the 2018 NFL draft.[4] He was placed on the reserve/non-football injury list on September 1, 2018, due to the knee injury.[5]
On September 1, 2019, Street was placed on injured reserve.[6] He was designated for return from injured reserve on December 4, 2019, and began practicing with the team again. He was activated on December 14, 2019.[7] He was placed back on injured reserve on January 10, 2020.[8] Without Street, the 49ers reached Super Bowl LIV, but lost 31–20 to the Kansas City Chiefs. He was placed on the active/physically unable to perform list at the start of training camp on July 28, 2020,[9] and added back to the active roster seven days later.[10]
On October 31, 2023, Street, along with a 2025 seventh-round pick, was traded to the Atlanta Falcons in exchange for a 2024 sixth-round pick.[13] He re-signed with the team on March 18, 2024.[14]