Football League clubs will be able to discuss short-term deals again from Tuesday.
Brighton are planning on dipping their toe back into the water, with their squad still light on firepower.
Targets are in the process of being drawn up, with it important to act quickly when the window re-opens.
Burke expects there to be movement at the Amex Stadium, possibly before the Seagulls return to Championship action against Reading on 15th September.
He told the club's official website: "We have always got players lined up and we have got three forwards injured so I would expect to see something happen as quickly as possible."
Brighton boss Oscar Garcia is currently without the services of Ashley Barnes, Craig Mackail-Smith and Will Hoskins.