Injured all-rounder Ben Stokes will however stay with the squad for the entire series.
Ben Stokes is expected to be available for the T20I series against India.
Woakes and Stokes, who missed the Leeds Test with a hamstring tear, are both doubts for the upcoming five-match ODI series against Australiawhich starts on 13 June.
Stokes suffered a left hamstring tear in the build-up to the ongoing second Test against Pakistan at Headingley and was replaced in England's side for that match by debutant paceman Sam Curran.
Babar Azam was taken to a hospital for a scan which confirmed a fracture that will sideline him for at least six weeks.
Ben Stokes was bought for a massive Rs 12.5 crore in the IPL 2018 Player Auction.
Rajasthan Royals picked up two vital points vs Mumbai Indians to stay in the IPL 2018 battle.
Money does not necessarily beget performance, as the Indian Premier League (IPL) 2018 amply displays.
AB de Villiers scored a whirlwind unbeaten 39-ball 90 to guide Royal Challengers Bangalore to a convincing six-wicket win over Delhi Daredevils at the M Chinnaswamy stadium.
With two wins and two defeats, Rajasthan are placed fifth with four points, while the Mahendra Singh Dhoni-led Chennai also have an equal number of points after two wins from three matches and are at the fourth position.
Lalit Modi believes that if that $12 million cap is relaxed, leading IPL players could earn as much as English Premier League footballers and even NFL stars.
After restricting RR to 160/8, KKR rode on Robin Uthappa's 36-ball 48 (6x4, 2x6) to set up the chase.
All his off-field troubles notwithstanding, Ben Stokes is a player par excellence.
England were bowled out for 58, their sixth lowest score ever, after being sent into bat in the first day-night Test against New Zealand in Auckland on Thursday.
The trial is for August 6 but the proceedings are expected to last between 5-7 days, overlapping with the Lord's Test beginning on Aug 9.
England beat New Zealand by six wickets in the second one-day international in Mount Maunganui Wednesday to level the five-match series 1-1.
Ben Stokes will depart for New Zealand on February 14.
England all-rounder Ben Stokes is set to appear in court for the first time on Tuesday after being charged with affray following an incident outside a nightclub that cost him his place on the Ashes tour.