Celtic manager Neil Lennon has confirmed the club are "actively trying to get one or two more players in" to aid their title defence.
Earlier this week, Celtic signed AEK Athens goalkeeper Vasilis Barkas for an initial fee of €3.3m (£2.95m), while they have also added forward Mohamed Elyounoussi on loan from Southampton.
- Scottish Transfer Centre LIVE!
- Scottish Premiership ins and outs
- Sky Sports reveals Scottish Premiership line-up
- Sign up to Sky Sports
Albian Ajeti's move to Celtic has stalled after the player asked for more time to weigh up his options.
The Scottish champions have been linked with Peterborough striker Ivan Toney, but have yet to meet the League One club's valuation of the 24-year-old.
Asked about Toney, Lennon said: "There are a couple of areas that we are looking at and I know we have been linked with a number of players.
"I can't confirm at the minute but we are actively trying to get one or two more players in."
Earlier this week, Peterborough boss Barry Fry said he believes Toney is worth £12.5m and revealed Celtic's first offer for the 24-year-old was "turned down flat".
When asked whether Celtic were willing to spend an eight-figure sum to sign Toney, Lennon replied: "It will be a club decision whether we think that it's value for money so I'll leave that in the capable hands of the people who make those decisions.
"We've identified some players and some options in a number of positions and we'll just work through that as best we can."
Scottish Prem: New season on Sky Sports
Celtic will kick off their Scottish Premiership title defence at home to Hamilton Academical on August 2, while Rangers travel to Aberdeen on August 1, with both games live on Sky Sports.
Neil Lennon's Celtic side, who were crowned champions for the ninth successive season in May after the SPFL opted to curtail the 2019/20 campaign, are looking for a 10th straight title, and will host the Accies at Celtic Park in a 4.30pm kick-off on the Sunday, while Steven Gerrard's Rangers are at Pittodrie at 12.30pm on the Saturday.
Also on the opening week, Motherwell's trip to Ross County on August 3 will be live on Sky Sports, while all 12 Scottish Premiership teams will be shown live on Sky Sports in August, with more live fixtures to be announced from September onwards.
From August, Sky Sports will be the only broadcaster to offer live coverage of the Scottish Premiership, with up to 48 games available on the new home of Scottish football.