The 19-year-old has agreed to move from west to east Sussex on a one-month deal.
Smith had a prolific spell out on loan earlier in the season when he scored 24 goals for Met Police.
He has since been a regular on the bench for Town's first-team squad and made his debut as a late substitute in the 3-0 defeat at Bournemouth in December.
Crawley manager Richie Barker told the club's official website: "Jonte needs games and Eastbourne have a busy schedule coming up.
"It is a step up from the Ryman League Premier, when he was with Met Police, and is good for his ongoing development.
"We will monitor his progress closely."
- Sports & Recreation