The 23-year-old has passed a medical and agreed a three-and-a-half year deal with the League One table-toppers.
"Craig has been on our radar for a while," said Seagulls boss Gus Poyet.
"He will give us something totally different, he's a natural left-footer who can also play on the right wing, and he has the ability to go past defenders."
Noone will not be available to face Leyton Orient on Saturday but could make his debut at his former club Exeter on Monday.
Source: PA
Source: PA