sponge up

verb3

1. •
   To clean with a sponge

   • I sponged up the juice spill.
2. •
   To soak up, like a sponge

   • The ground was so dry it sponged up all that rain.
3. •
   To treat (something), such as to wetten, with a sponge.

   • You have to sponge up the roller with cold water.