The Reds are deep into negotiations with the Catalan club regarding a deal for Luis Suarez, which looks likely to go through.
Barca are understood to be prepared to match the Uruguayan’s £70m-£80m release clause – despite his four month ban for biting Italy’s Giorgio Chiellini – yet both clubs are keen to get Sanchez involved in a swap.
The Merseysiders are thought to be ready to drop £25m-£30m off of their demands to have the Chilean move to Anfield, but the player himself is rumoured to be reluctant to make the switch.
He would instead prefer a move to Arsenal, who are also attempting to negotiate a deal.
The South American attacker is believed to have cut his post-World Cup holiday short to sort out his future, and Liverpool are ready to make him a lucrative offer to pick them.
Barca may also be willing to supplement his income in a bid to reduce the payment needed for Suarez.
Arsenal are reportedly ready to pay Sanchez £135,000-per-week.