The former Tottenham star joined the Tigers in 2014, following a strong loan spell the previous season, and has been a key man for the club during the current campaign.
Livermore has made 24 appearances in all competitions, and has occasionally deputised in defence due to a host of injuries.
However, recent reports have linked him with a potential move away from the KCOM Stadium, with Crystal Palace thought to be eyeing a deal for the one-cap England international.
Despite the 27-year-old currently having a year left on his contract, Watford are now also thought to have stated an interest in the player.
With Roberto Pereyra and Valon Behrami currently suffering with injuries, Hornets boss Walter Mazzarri is believed to be considering Livermore as an antidote to his midfield problems.
AC Milan have confirmed that Lucas Biglia suffered a back fracture during Saturday's 1-0 home defeat to Benevento.
Barcelona midfielder Andres Iniesta has confirmed he will make an announcement regarding his future this week.
Rony Lopes remains fully committed to Monaco although he has refused to rule out a future return to Manchester City.
Tony Pulis switched his focus to next week's huge game against Millwall after Middlesbrough's vital 2-1 win at play-off rivals Derby.
Sunderland have vowed to 'rise again' after their relegation to League One was confirmed on Saturday afternoon.
Northampton Town gave their survival hopes a huge boost with a richly deserved 2-0 victory over promotion-chasing Plymouth Argyle.
Bayern Munich claimed a 3-0 victory over Hannover 96 in their Bundesliga clash on Saturday afternoon.
Barcelona did the first half of the domestic double as they cruised to a 5-0 victory over Sevilla in the Copa del Rey final at the Wanda Metropolitano on Saturday night.
Borussia Dortmund cruised to a 4-0 win over Bayer Leverkusen in their Bundesliga battle for the top four at Signal-Iduna-Park on Sunday.
Diego Simeone has admitted he expects Diego Costa to miss the first leg of Atletico Madrid's Europa League semifinal against Arsenal.