Eighteen players have turned out for both clubs during that time, with loanee Daniel Sturridge the latest.
But can you remember some of the other players to don the red shirt of Liverpool and the blue and white stripes of the Baggies?
We’ve picked out ten of the more well-known players to do so...
Sturridge
Sturridge joined West Brom on loan in January 2018, five years after making the move to Anfield from Chelsea.
For Liverpool, the England international has netted 63 times in 133 appearances, with his first 50 coming in just 87 games.
Sturridge, though, will not be able to play against his parent club on Saturday.
Nicolas Anelka
Champions League winner and two-time Premier League champion Anelka was signed on loan from Paris Saint-Germain in December 2001 and helped Gerard Houllier's Liverpool to second place in the league that season, but the deal was never made permanent.
Instead, the striker went on to feature for Manchester City, Fenerbahce, Bolton Wanderers, Chelsea, Shanghai Shenhua and Juventus before pitching up at West Brom in the summer of 2013. He left in February 2014.
Steve Nicol
Nicol is one of the best defenders to have ever played for Liverpool and his versatility made him invaluable during a trophy-laden 13 years at Anfield.
Signed by Bob Paisley in 1981, the Scotland international won four league titles, a European Cup and three FA Cups before joining Howard Kendall’s Notts County in a player-assistant coach role in 1994.
He played nine games for West Brom during a loan spell from Sheffield Wednesday in 1998.
Rickie Lambert
Lambert completed a dream move to boyhood club Liverpool in June 2014 following a fairytale rise through the leagues that culminated in selection for the 2014 World Cup with England.
The Scouse striker was signed for the Reds by Brendan Rodgers after a prolific spell with Southampton.
However, Lambert found his opportunities limited at Anfield and moved to West Brom a year later.
Chris Kirkland
Kirkland was one of the most promising goalkeepers in the country when he signed for Liverpool from Coventry City in 2001.
Perhaps his most memorable game for the Reds came in December 2004, when he played in the famous Champions League comeback win over Olympiacos that sealed qualification from the group stage. Liverpool would, of course, go on to win the trophy in Istanbul.
Kirkland went on loan to West Brom in search of regular first-team football in 2005 before leaving Anfield to join Wigan a year later.
David Burrows
West Brom: 53 games, 1 goal
Liverpool: 193 games, 3 goals
Liverpool boss Kenny Dalglish signed a fresh-faced David Burrows from West Bromwich Albion in October 1988 and the young left-back enjoyed tremendous success at Anfield.
He won the league title with Kenny’s Reds in 1990 and the FA Cup under successor Graeme Souness in 1992 before leaving for West Ham a year later.
Andre Wisdom
Versatile defender Wisdom scored on his senior debut for Liverpool in a Europa League clash with Young Boys in September 2012 and went on to make 19 appearances under Brendan Rodgers that season.
However, with subsequent chances limited, he spent the 2014-15 season on loan at The Hawthorns, where he was first choice for the Baggies for a large portion of the campaign. He left Anfield to join Derby County in 2017.
Harry Chambers
Chambers was a star striker for the Liverpool team that won back to back First Division titles in 1922 and 1923. He was the club’s top scorer in four successive seasons and netted more than 150 goals in a 339-game career with the Reds.
The England international eventually left Liverpool in 1928 to join West Brom, where he was converted into a centre-half.
Scott Carson
Goalkeeper Carson signed for the Reds from Leeds United in 2005 but the success of Pepe Reina for Rafa Benitez's side meant that he found opportunities limited.
He was on the bench for the 2005 Champions League final in Istanbul and left Anfield for West Brom in 2008.
He was made captain at The Hawthorns and led the Baggies to promotion back to the Premier League for the 2010-11 season.
David Speedie
Striker Speedie made himself an instant Kop favourite when he scored on his debut at Old Trafford and then hit two against Everton in his second game.
He then went on to play 10 games for West Brom in 1992 while on loan from Southampton.