Bairstow said he doesn't have much knowledge about the extent of injuries suffered by Broad and Anderson, rendering one unavailable and the other doubtful for the second Test against India.
Anderson, who became Test cricket's third highest wicket-taker during the first Test in Nottingham, missed the training session on Wednesday morning due to thigh strain.
England is already missing Jofra Archer due to an injury, while all-rounder Ben Stokes has taken an indefinite break to focus on mental health.
Broad aired his views following a controversial decision involving New Zealand batsman Devon Conway on the second day of the second Test here on Friday.
Broad, who has been named deputy to captain Joe Root for the two-match Test series against New Zealand, was impressive against Warner in the 2019 Ashes.
All-rounder Ben Stokes, who was vice-captain earlier, has been sidelined due to injury, while Jos Buttler has been rested following the Indian Premier League.
The veteran English pacer felt communication from selectors to the team was not clear when Ed Smtih was England's national selector chief.
The ICC mandates that same number of points be available from each series, irrespective of its length, so that countries that play fewer Tests are not affected adversely.
James Anderson and Stuart Broad went wicketless during the pink-ball Test in Ahmedabad against India.
Joe Root also confirmed that Foakes will keep wickets even after Jonny Bairstow returns to the squad after the second Test.
Hussain also backed Root's decision to not enforce the follow-on despite securing a 241-run first-innings lead.
Depleted by injuries and without their star players, India under Ajinkya Rahane, had registered a 2-1 win in the four-Test Border-Gavaskar Series.
Jonny Bairstow and Mark Wood lost their Test contracts with England last week as the country's players from all formats prepared for pay cuts over the next year.
On this day Yuvraj Singh sent the cricket world into frenzy as he slammed six sixes in an over off Stuart Broad in the inaugural edition of WT20.
Panesar said that since England prefer to play an all-rounder in those conditions and with Chris Woakes in the kind of form that he is in right now, it will be difficult to drop him for Ben Stokes whenever the England vice-captain returns.
On day five of the third Test against West Indies at the Old Trafford, Broad made history when he dismissed Kraigg Brathwaite
Broad has moved up one slot to the second position in the bowlers' list after a haul of 4/56 while Anderson has moved up two slots to 14th with figures of 3/60, as the pair helped dismiss Pakistan for 236 in their only innings of the match.
But after toiling long and hard, Broad finally managed to draw that softest of nick off Babar's outside edge with the delivery on the fourth stump which was comfortably taken by Jos Buttler.
Day 2 of the ongoing second Test between England and Pakistan was called off due to bad light, inciting opinions on the bad light rules and solutions to the issue.
Stuart Broad had long kept it a secret but revealed it to his teammates only during a pre-camp training for Ashes 2015.
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