Lee put up four points (1-2 FG, 2-2 FT), two assists and one rebound across eight minutes during Thursday's 110-105 win over Houston.
Lee recorded 17 points (4-5 FG, 1-1 3Pt, 8-8 FT), four assists and two rebounds in 15 minutes during Thursday's 123-100 preseason win over the Lakers.
Lee tallied 11 points (3-7 FG, 1-2 3Pt, 4-6 FT), nine assists and two rebounds across 32 minutes in Tuesday's 115-107 preseason loss to the Nuggets.
Lee signed a two-way deal with the Suns on Thursday, Duane Rankin of the Arizona Republic reports.
Lee isn't starting Game 1 of the Western Conference First Round against the Clippers on Sunday.
Lee ended Sunday's 119-114 loss to the Clippers with 25 points (8-21 FG, 3-8 3Pt, 6-8 FT), three rebounds, nine assists and two steals over 44 minutes.
Lee will start Sunday's game against the Clippers, Ohm Youngmisuk of ESPN.com reports.
Lee closed with four points (0-1 FG, 4-6 FT), three rebounds, five assists and two steals in 15 minutes during Saturday's 116-100 win over the Pistons.
The Suns signed Lee to a two-way contract Wednesday, Shams Charania of The Athletic reports.
Lee's second 10-day contract with the Suns expired Tuesday, Keith Smith of Spotrac.com reports.