Neil Redfearn’s side will then start their Women's Super League (WSL) campaign with a trip to Arsenal Women on September 9.
Other stand-out fixtures for the Reds include a trip to Chelsea FC Women on October 28 before they then host Manchester City Women on November 4.
The season is scheduled to conclude with a Merseyside derby as Everton Ladies visit Prenton Park on May 12.
Fixtures in full (WSL unless stated otherwise)
August
19 - Manchester United Women (H): Continental Tyres Cup, 2pm BST
September
9 - Arsenal Women (A): 2pm
16 - Durham Women (A): Continental Tyres Cup, 12pm
23 - Brighton & Hove Albion Women (A): 2pm
30 - Reading FC Women (H): 2pm
October
14 - Yeovil Town Ladies (H): 2pm
21 - West Ham Women (A): 3pm
28 - Chelsea FC Women (A): 2pm
November
4 - Manchester City Women (H): 2pm
18 - Bristol City Women (A): 3pm
25 - Birmingham City Ladies (H): 2pm
December
2 - Everton Ladies (A): 2pm
6 - Everton Ladies (H): Continental Tyres Cup, 7pm
9 - Reading FC Women (A): 2pm
12 - Reading FC Women (A): Continental Tyres Cup, 7.