Gortman produced no counting stats in one minute during Tuesday's 118-104 loss to the Thunder.
The Mavericks signed Gortman to a two-way deal Friday, Tim MacMahon of ESPN.com reports.
Gortman will come off the bench in Thursday's preseason game against the Bucks.
Gortman finished Monday's 121-116 loss to the Grizzlies with 19 points (7-13 FG, 4-7 3Pt, 1-1 FT), three rebounds, three assists and four steals over 25 minutes.
The Mavericks signed Gortman to an Exhibit 10 contract Thursday, Keith Smith of Spotrac.com reports.
Gortman agreed to an Exhibit 10 contract with the Bucks on Tuesday, Keith Smith of Spotrac.com reports.