The first of the last-eight ties sees nine-time champions Manchester City take on eight-time winners Liverpool on Saturday, 4 April at 12:45 GMT, live on BBC One and BBC iPlayer.
Next up that day, Chelsea host League One's Port Vale at 17:00 GMT, also live on BBC One and BBC iPlayer.
The final Saturday fixture is Southampton against Arsenal, live on BBC One and BBC iPlayer at 20:00 GMT.
The remaining quarter-final will see West Ham host Leeds United on Sunday, 5 April at 16:30 GMT - also on BBC One and BBC iPlayer.
Highlights from all games will be on BBC One, BBC iPlayer and the BBC Sport website and app on Sunday (22:30 GMT).
Live text commentary will cover all of the weekend's action while digital highlights will be available on the BBC Sport website and BBC Sport social media channels.
All four ties will be shown live on television or available on streaming platforms on TNT Sports and HBO Max.

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