Worcestershire skipper Solanki will lead the side at his New Road home ground on Thursday with his players looking to remind the selectors of their one-day international credentials.
England face the West Indies in two Twenty20 matches at The Oval, the first on June 28, before taking on the tourists in three full one-day internationals in the first week of July.
Chairman of selectors David Graveney, speaking at the Riverside here Friday, where the first day of the fourth Test between England and West Indies was washed out without a ball being bowled, said: "The selectors will be closely monitoring performances by the England Lions next week and it will provide a further opportunity for players on the fringe of the international side to press their case for selection in our one-day squad for the NatWest Series.
"This is a strong squad which includes 10 players who have already represented England and I am sure they will be eager to make an impression."
Solanki, a top-order batsman, has played 51 one-day internationals for England, the last against Sri Lanka at Headingley in July 2006.
Among those in the 12-man squad is Paul Nixon, England's wicket-keeper at the World Cup, as well as batsman Ed Joyce and pace bowler James Anderson who also played in the Caribbean.
Players from Durham, Essex, Hampshire and Warwickshire were not considered as they will be involved in the Friends Provident Trophy (domestic one-day) semi-finals next week.
Vikram Solanki (Worcestershire, capt), Kabir Ali (Worcester), James Anderson (Lancashire), Gareth Batty (Worcester), Tim Bresnan (Yorkshire), Stuart Broad (Leicester), Alex Gidman (Gloucester), Will Jefferson (Nottingham), Ed Joyce (Middlesex), Paul Nixon (Leicester, wk), Owais Shah (Middlesex) and Michael Yardy (Sussex).