Press Association Sport understands the handshakes will take place as planned at Old Trafford as the Premier League believes cancelling them would negate the point of having the tradition in the first place.
Saturday's match will be the second encounter between Liverpool and United since Reds forward Suarez was banned for eight matches for racially abusing United's Evra last year.
The Uruguayan was suspended for last month's FA Cup tie between the two sides at Anfield, which Liverpool won 2-1.
Suarez's ban has now expired and he returned to action in Monday's league match against Tottenham.
Last month, the Football Association elected to cancel the handshakes between QPR and Chelsea ahead of their FA Cup clash in an effort to ease tensions due to John Terry's charge of racially abusing Rs defender Anton Ferdinand, an allegation the Chelsea captain denies.