Friday's draw matched the Magpies against Atrmoitos, who finished fourth in last season's Greek Super League.
Bajevic thinks that his team have a chance to catch Newcastle cold in the first leg of the tie.
He told the club's official website: "English football is popular worldwide and has its own characteristics, but we will not surrender.
"We will try with all our might. We have a chance and we will be ready by the time the first game comes round at home."
Alan Pardew's side could face a trip to Greece on Thursday, August 23 - less than 48 hours before they are due to face Chelsea at Stamford Bridge in the Premier League.