Leicester boss Brendan Rodgers insists he would be happy to trust his current squad if the Foxes fail in the transfer market.
The club are close to signing Roma winger Cengiz Under on loan but Rodgers believes his men can cope with the demands this term.
St Etienne defender Wesley Fofana has publicly stated he wants to join Leicester while Burnley's James Tarkowski will prove too expensive.
The Foxes had two bids of around £30million for the defender rejected in January and are unlikely to meet the Clarets' £50m asking price.
Tarkowski is likely to face Leicester when they visit on Sunday and Rodgers will be happy to go forward with what he has got.
"It's definite we need a centre-half. If we then get an attacking player, then I would be happy with that," he said. "If we get no players in, it wouldn't be ideal, but I'm happy to work with the players here.
"I just think this season is going to be such a taxing season. I've always enjoyed a tight group.
"I've always liked to work with a tight group, so the players know they're close to playing if they're not playing but certainly those positions are priorities for us."
Leicester beat West Brom 3-0 in their opening game last weekend as they shook off any hangover from missing out on the Champions League on the final day of last season.
James Maddison could start after returning as a substitute following a hip injury but Jonny Evans remains banned.
It is Burnley's first league game of the season and Rodgers believes the Clarets and boss Sean Dyche are underrated.
He said: "I've huge respect for Sean and Burnley and the work that they've done. Watching and analysing their games, from last season, they don't get respect for the football they play.
"They're really, really talented players. They're always super organised, they've got a really good balance in their team, between attacking and defending.
"They've got some highly gifted, technical players that can play football too and Sean has turned them into that type of team over these last number of years.
"They've consolidated their Premier League place with some great finishes, so for us, last week was a test at a newly promoted team, away from home, and we rose to that challenge.
"It'll be a different challenge on Sunday, but equally as tough, playing Burnley. A lot of focus has gone into it and we'll be ready on Sunday."
