In 2019, Rasmussen remained with the now renamed Jay Howard Driver Development and went on to compete in the U.S. F2000 National Championship, where he finished third in the points after winning three races.

[7][8] On December 6, 2021, it was announced that Rasmussen would compete in Indy Lights for Andretti Autosport in 2022.

[9] He finished sixth in the final points standings after winning two races at Road America and Laguna Seca.

In 2023, he remained in the now renamed Indy NXT, this time driving for HMD Motorsports with Dale Coyne Racing,[10] where he won the championship after winning five races, earned five poles, and getting eight podium finishes.

On October 25, 2023, it was announced that Rasmussen would drive a partial schedule for Ed Carpenter Racing in the team's No.