The Hammers new boss will have to settle instead for reports from the club medics to let him know if and when he can count on the services of his jinxed Geordie striker.
Bilic is likely to see West Ham complete their Euro canter against the Andorran minnows from FC Lusitans after beating them 3-0 in last week’s first leg.
What to do about Carroll, however, remains a major headache for the Croatian.
The pony-tailed hitman who has cost more than £50million in transfer fees alone since leaving Newcastle more than four years ago is said to be progressing on his latest comeback trail.
But he won’t be fit enough to face little Lusitans on Thursday or probably Arsenal in the new season curtain-raiser at The Emirates on August 9.
And that leaves Bilic in a real quandary about whether he needs to splash some more cash on someone to help Diafra Sakho in case the curse of Carroll strikes again.
In the meantime Carroll continues a summer of gruelling rehabilitation to try to prove he really is worth the incredible amount of money that has been spent on him.
Apart from the £90,000-a-week wages he banks - that’s a little more than £28million if he sees out his six-year contract - Carroll can also count on financial endorsements to help ease the pain.
The stats on what West Ham have so far got for their money make for mind boggling reading.
In the two years since Carroll joined the Hammers from Liverpool for a little more than £17million he has been fit enough to make only 27 first team appearances and scored just seven goals. That works out to around £2.5million per goal.
He cost his former club, Liverpool, almost twice as much.
They paid Newcastle £35million for his services in 2011 and got just six goals in only 34 appearances during a similarly blighted three seasons at Anfield.
On a cash for goals comparison the aptly tagged Reds bank manager worked that one out as costing them nearly £6million per goal.
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Andy Carroll has been back training at West Ham
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It is not, of course, Carroll’s fault. His all-out commitment and challenges - when he’s on the pitch - have taken a high toll.
As his former West Ham manager, Sam Allardyce, said last season: “He’s his own worst enemy because he goes for everything.”
That, though, is no consolation for Bilic who wrestles with the problem of whether he and the Hammers can wait much longer for Carroll to deliver on the high expectations they face ahead of their move into the Olympic Stadium at the start of next season.
West Ham bosses have already backed the new man in the transfer market with the signings of Dimitri Payet, Pedro Obiang and Darren Randolph.
Reports now also suggest they are on the brink of bringing Alex Song back from Barcelona for around £5million and Arsenal defender Carl Jenkinson following their successful loan spells last season.
Dynamo Kiev defender Aleksandar Dragovic and Paris St Germain midfielder Yohan Cabaye are also believed to be on the West Ham radar.
Substantial funds will also be made available for a new striker - if the struggling Carroll falls short again.