Sissoko, 26, came up through the ranks at Toulouse before eventually leaving the French club in January 2013, with The Independent reporting that Newcastle paid just £1.8m to secure his signature.
The French international - who is heading to Euro 2016 his summer - has racked up more than 130 appearances for the Magpies, scoring 12 goals whilst showing off his devastating combination of pace and power on Tyneside.
Despite his seven assists this term, Newcastle have suffered relegation to the Championship, and Sissoko appears to be one of the main players being targeted for an immediate return to the Premier League.
The Mirror report that Arsenal boss Arsene Wenger is a long-term fan of Sissoko, and whilst Borussia Monchengladbach star Granit Xhaka is heading to the Emirates Stadium, it's claimed that he also wants to add the physical abilities of Sissoko too.
The report adds that it may cost £10m to prise Sissoko away from St. James' Park this summer, and whilst Wenger wants his compatriot in North London, he may face some competition from a London rival.
The Telegraph claim that West Ham United have an interest in signing Sissoko, but don't think he's worth Newcastle's £10m valuation right now.
West Ham may hope to bring that asking price down, but if Wenger really does want him at the Emirates Stadium, the Gunners could swoop in before West Ham even have chance to drive the price down.
Do you think Sissoko would be better off signing for Arsenal or West Ham?