The former winger was promoted from his role as Real Madrid B team boss after Julen Lopetegui was sacked in the wake of the 5-1 defeat by bitter rivals Barcelona last month.
Solari has won all four of his matches as senior team chief and can make it five with another win in the Basque country.
His backline is boosted by the return to fitness of Marcelo, Dani Carvajal and Raphael Varane.
Further forward, Karim Benzema has been a revelation under Solari’s stewardship with four goals in his last four appearances in all competitions and you can watch him in action against Eibar for free.
Eibar vs Real Madrid LIVE stream
The clash can be streamed live in the Bet365 website when it kicks off at 12noon today (November 24).
You can watch it HERE by selecting Eibar v Real Madrid on the left-hand side.
If you have a Bet365 account with money deposited you are free to watch the game.
If, not all you need to do is open one and deposit money into the account.
The game is available for live streaming through the website or through the Bet365 app on your iPhone, iPad or Android device.
Eibar vs Real Madrid team news
While Solari has three senior stars back, he will have to do without Nacho, Casemiro and Sergio Reguilon.
All three picked up knocks in the 4-2 win at Celta Vigo last time out.
Dani Ceballos is expected to come in for Casemiro and line up alongside Luka Modric and Toni Kross in a midfield three.
Isco is struggling to find a regular place in Solari’s team so Gareth Bale and Marco Asensio should support Benzema in attack.
Predicted starting lineups
Eibar: Riesgo; Valdes, Oliveira, Bigas, Pena; Diop, Escalante; Orellana, Jordan, Cucurella; Charles
Real Madrid: Courtois; Carvajal, Varane, Ramos, Marcelo; Kroos, Ceballos, Modric; Bale, Benzema, Asensio
Eibar vs Real Madrid latest odds
Eibar 5/1
Draw 15/4
Real Madrid 1/2
(Odds courtesy of Bet365)