Wary Ange Postecoglou made sure not to put any low hanging fruit into "the basket of uncertainty" in the wake of Saturday's 6-0 win over St Mirren.
The Australian was asked about a potential swap plus cash involving Kevin Nisbet and Leigh Griffiths and while the 55-year-old played it down, it was Jack Ross who rubbished it 24 hours earlier.
Postecoglou's approach is to not get involved with names until they are over the line a - strategy he has adopted since he took the reins at Parkhead.
But Celtic are looking to get deals done and have been linked with a host of players before the window shuts next Tuesday.
Record Sport looks at the state of play for a host of players who have been linked with a switch to Glasgow's east end.
Kristijan Lovric
He have become an uber fan since being linked over the summer but the Gorica winger seems very much focused on his current club.
The 25-year-old remains keen on developments at Parkhead on social media, however, the £3.5m-rated star certainly isn't allowing speculation to affect him on the pitch.
Lovric didn't score in the 1-0 win over Slaven Belupo but he was brilliant throughout and it's understood his current club "won't accept a penny less" than their asking price - according to multiple reports in his homeland.
His potential Celtic switch could be tied to the future of Ryan Christie who has several suitors with only six months remaining on his current deal.
Liam Scales
He scored last week for Shamrock Rovers in their 4-2 defeat away to Flora Tallinn but Liam Brady wasn't effusive about the defender's showing.
However, Scales has earned glowing reviews in recent times and it appears his final appearance for the club could be in the return leg against the Estonians on Thursday before a potential £500,000 switch to Parkhead.
And the good news could keep coming as he is poised to be named in Stephen Kenny's squad for Republic of Ireland's upcoming World Cup qualifiers.
A versatile player who can play on the left of a back four or as a central defender in back three - the 23-year-old has long been regarded as a shining light in the League of Ireland.
Georgios Giakoumakis
A proper Greek odyssey this one.
Werder Bremen are smitten with Georgios Giakoumakis but the Bundesliga 2 side are pleading poverty despite a report in Germany claiming a deal is "99 per cent done".
If one thing Celtic fans don't like it's the sense they are second choice and the 33-goal VVV Venlo striker did little to quell that with his flying trip to Bremen last week.
His £2.5m asking price is tempting and Celtic are understandably keen on the 26-year-old who enjoyed a breakthrough season last year - despite his goal rush proving not enough to condemn VVV to Dutch football's second tier.
Thomas Henry
Jack Hendry's less than effusive verdict of his Belgian league rival certainly hasn't stopped potential suitors trying to strike a deal with Leuven.
Let's make it clear, Celtic are currently out the running but many supporters were left impressed with his nimble hold-up play and eye for goal before Giakoumakis emerged as the top target.
He's been linked with Gent and Genoa but now Venezia appear to be in pole position and reports in Italy suggest a £5.1m deal is in the works.
The 27-year-old is something of a late bloomer but Henry is full of confidence of his own abilities as he looks to prove his Leuven exploits is anything but a one off.
