| Rima Sypkus | |
| Birth Date: | 6 January 1967 |
| Birth Place: | Vilnius, Lithuania |
| Height: | 1.85 m |
| Clubs1: | Eglė Vilnius |
| Years2: | 1993–2000 |
| Clubs2: | Hypo Niederösterreich |
| Years3: | 2000–2006 |
| Clubs3: | McDonald's Wiener Neustadt |
| Nationalteam1: | Austria |
Rima Sypkus (formerly Sipkuviene; born 5 January 1967)[1] is a retired Lithuanian-born Austrian female handball player who played for the Austria national team.[2] She competed in the women's tournament at the 2000 Summer Olympics.[3]