Tottenham have already rejected an offer from their Premier League rivals for Modric this summer and insist the Croatian is not for sale.
Modric has previously suggested he would be keen to move to Stamford Bridge after the playmaker was also linked with champions Manchester United.
Gourlay was non-committal on whether the Blues would go back in with an improved offer and will speak to Villas-Boas following the club's success in the Barclays Asia Trophy in Hong Kong.
"I don't like talking about players from other clubs, but that's something we'll look at during the week and we'll take it from there," Gourlay told Sky Sports News.
"We really need to sit down with Andre and talk this through. Even though we've been travelling away you can still be active in the marketplace nowadays.
"The communication is always there with our guys back in London or wherever they are at the present time around the world."
Modric missed Spurs' friendly against Brighton on Saturday due to illness, but manager Harry Redknapp again praised the player's attitude during the ongoing speculation about his future.
Redknapp said: "Luka wasn't feeling well. He came in yesterday and wasn't great, he came in this morning to see the doctor and he had ulcers on the back of his throat.
"He was pretty rough. The doctor rung and said no way he can play.
"Again, I can't fault his attitude, he's been first class. Obviously it's been a difficult period for everybody with him. He's trained well and worked hard. He's a great lad and you couldn't meet a better pro in my opinion."
Source: Team Talk
Source: Team Talk