Unfortunately, Raadi was in soviet hand at least until 22. July.
After defeat in Lithuania and in Latvia, soviet forces took in the the beginning of July defence line lake Peipsi (Peipussee) - Pärnu (Pernau). Between lake Peipsi and lake Võrtsjärv (Wirzsee) defence line was on northern side of river Emajõgi (Embach in german, another name used in Estonia is Suur-Emajõgi).
Tartu is town on both sides of river Emajõgi and Raadi is on northern side of river:
https://en.wikipedia.org/wiki/Raadi-Kruusam%C3%A4e (blue line - river Emajõgi)
Southern part of Tartu was free of soviets on 11. July.
Soviet forces bean retreat from northern part of Tartu only after germans (XXVI. Armeekorps) lauched attack on 22.July from northern tip of Võrtsjärv to the NW coast of lake Peipsi.
short overview of fighting around Tartu in 1941 is in Baltic Defence Review 9:
http://www.baltdefcol.org/files/files/BSDR/BDR_09.pdf pages 165ff. (today it's little bit outdated, after plenty of soviet and german primary sources become available).