You may simply need to adjust the idle speed. There's an easy-to-reach idle speed screw because the Vee's FI system doesn't do this for you as temperatures change -- fuel-injected cars have an IAC (idle air control) valve that manages idle speed, but on the Vee it's up to you.
You also might need to adjust the TPS (throttle position sensor).
2002 Suzuki DL1000 V-Strom, Dark Metallic Space Blue
1983 Suzuki GS850G, Cosmic Blue
2005 KLR685, Aztec Red - Turd II.2, the ReReTurdening