PSV, meanwhile, are four points behind them in second place, with the Dutch outfit managing to pick up two wins in the group stage so far.
Granada remain unbeaten in their debut season of the competition, with their latest European fixture ending in a 2-1 win at home to Omonia.
Their defensive record in the Europa League has been particularly impressive, having conceded just two goals so far, with their expected goals against total the lowest of any team in the competition this term.
However, in recent times, the Spanish club have struggled in La Liga - suffering defeats against the likes of Celta Vigo, Real Valladolid and Real Sociedad.
This means that Martinez will be hoping to put their league worries behind them come Thursday, with a win against upcoming opponents PSV securing them a place in the knockout stages of the Europa League.
PSV, on the other hand, will also be keen to pick up the three points in midweek as they sit just one point ahead of PAOK in Group E.
In the Eredivisie, Roger Schmidt's men currently sit third, having gained seven victories in their first 10 league games.
In the reverse fixture, PSV would have undoubtedly been disappointed with the home loss against Granada, with the visitors able to come from behind to win 2-1.
It is also worth noting that the Dutch giants have never won against Spanish opposition, drawing five and losing a further 10 of their 15 games.
Granada Europa League form: WWDW
Granada form (all competitions): LWLLWD
PSV Eindhoven Europa League form: WLWL
PSV Eindhoven form (all competitions): WWDWLW
Ramon Azeez is also doubtful, leaving Martinez with limited options as they plan for matchday five of the competition.
However, Suarez is expected to keep his place in the starting XI, with the striker netting in their previous league defeat against Celta Vigo.
Maximiliano Romero also remains doubtful as the forward continues to suffer with a knee problem.
Granada possible starting lineup:
Silva; Vallejo, N Perez, Duarte, Neva; Gonalons; Soro, Milla, Herrera, Suarez; Soldado
PSV Eindhoven possible starting lineup:
Mvogo; Dumfries, Teze, Boscagli, Max; Gotze, Sangare, Rosario, Gakpo; Zahavi, Malen
We say: Granada 2-1 PSV Eindhoven
This game is expected to be a tight encounter between the two sides, with both Granada and PSV likely to field strong teams. Although PSV have been in better form recently, Granada should have the slight edge over their opponents, having beaten them in the reverse fixture in Eindhoven.