The encounter at Etihad Stadium, which was due on Sunday 9 February, was called off because of adverse weather.
It has now been rescheduled for Wednesday 19 February at 19:30 GMT.
As Gameweek 27 does not start until Saturday 22 February, the fixture will stay in Gameweek 26.
"It's a huge relief for the near-200,000 managers who captained Aguero and gave the vice-captaincy to De Bruyne"
They were the second and third most-captained players in the Gameweek, handed the armband by 885,000 and 725,000 FPL managers respectively.
Aguero has six goals and an assist in his last four matches, while De Bruyne has claimed four of his six double-figure hauls for the season at home.
In particular, the news will be a huge relief for the near-200,000 managers who captained Aguero and gave the vice-captaincy to De Bruyne.
They would have earned zero captain points if the match had been moved to another Gameweek, as neither player would have featured.
Aguero and De Bruyne will look to challenge the top captain pick Mohamed Salah (£12.7m), who was given the Gameweek 26 armband by a massive two million managers for Liverpool's trip to Norwich City on Saturday.
It remains to be seen, however, whether the rescheduling of City's fixture will affect Pep Guardiola's selection plans.
City were due to have two weeks' rest after facing West Ham. Instead, they will play the match at the start of a busy and important period.
And in the eight days after that, City will travel to Real Madrid in the last 16 of the UEFA Champions League before taking on Aston Villa in the EFL Cup final.
Owners of Aguero and De Bruyne may yet be disappointed all over again if Guardiola opts to give some of his stars reduced minutes against West Ham, keeping them fresh for the challenges that follow.