Liverpool are expected to be without Virgil van Dijk and Joe Gomez for the rest of the season, while Joel Matip is also currently sidelined leaving Klopp without a senior recognised centre-back.
Ozil moved to Arsenal from Real Madrid in 2013 and is the highest paid player in the Premier League club's history, but he has not played all season and does not appear to be in coach Mikel Arteta's plans.
Premier League: Liverpool not letting Xherdan Shaqiri or any first team player leave in January window, insists Jurgen Klopp
Liverpool manager Jurgen Klopp has dismissed speculation linking Xherdan Shaqiri with a loan move to Italy, saying the club has no intention of letting any of their first-team players leave in the January transfer window.
Bundesliga: Bayern Munich sign hot goalkeeping prospect Alexander Nübel from Schalke on free transfer
In Alexander Nübel, widely considered one of the best young goalkeepers in Germany, Bayern Munich have found their replacement for captain Manuel Neuer.
Crystal Palace manager Roy Hodgson has asked the club to bolster his injury-plagued squad during the January transfer window and said that it was demoralising to put pressure on a restricted number of players this season.
Premier League: Southampton boss Ralph Hasenhuettl says club wants to recruit new players in January transfer window
Southampton are looking to recruit at least two players in the January transfer window because their squad is unbalanced in certain positions, manager Ralph Hasenhuettl said on Tuesday.
Premier League: Pep Guardiola insists Manchester City won't spend in January transfer window despite injury issues
Pep Guardiola insists Manchester City will not buy a player in the January transfer window despite admitting he is concerned about his team's growing list of injuries in defence.
Arsenal's defensive frailties to blame for poor results, lack of creativity, midfield mediocrity and ostracism of top player
What's gone wrong at Arsenal? Have players collectively decided to down tools? Have all the other teams suddenly decided to play like Barcelona? Are there other issues at play?
Premier League: Jose Mourinho admits Alexis Sanchez yet to shine at Manchester United due to moving at 'wrong time'
Jose Mourinho admits he has not got the best out of Alexis Sanchez since his January transfer because the former Arsenal forward moved to Manchester United at the "wrong" time.
Mahrez was absent from training for 10 days last month after Leicester turned down a bid from runaway Premier League leaders Manchester City in the January transfer window.
Premier League: Leicester City boss Claude Puel hopes wantaway forward Riyad Mahrez will return to team
Mahrez has not featured for the mid-table Foxes, in matches or training, since his dream move to Premier League leaders Manchester City fell through.
January transfer window: Firstpost writers deliver their verdict on how top-six Premier League clubs fared
Firstpost writers analyse the transfer business of each of the top-six clubs and grade their transactions. Take a look at the final verdict.
January transfer window: Pierre-Emerick Aubemayang's signing could give fresh impetus to rudderless Arsenal
Aubemayang has been tasked with providing new impetus at Arsenal and scoring goals, providing a team on the drift with firepower.
January transfer window: Premier League clubs splash cash, but Philippe Coutinho's move to Barcelona trumps all
The January transfer window slammed shut on Wednesday after a frantic month of activity during which Barcelona completed the biggest deal by signing Philippe Coutinho from Liverpool.
The transfer of Pierre-Emerick Aubameyang to Arsenal will delight Premier League fans, but he left a trail of unrest in his wake at Borussia Dortmund.
January transfer window: Arsenal sign Aubameyang for record fee; Manchester City set sights on Riyad Mahrez
Aubameyang, the 28-year-old Gabon striker, who has scored 141 goals for Dortmund since joining in 2013, signed a long-term contract with Arsenal
January transfer window: Monaco's Thomas Lemar will remain at club untill end of season, says club's vice-president
Monaco are currently fourth in Ligue 1, a point behind Lyon in second and Marseille in third, but 12 points behind leaders Paris Saint-Germain.
January transfer window: Aymeric Laporte confirms Athletic Bilbao departure ahead of move to Manchester City
Laporte thanked Athletic's fans in his Twitter message but said he was taking on "a new challenge in my professional career".
January transfer window: PSG outcast Lucas Moura on brink of £25 million move to Tottenham Hotspur, say reports
Out of favour Brazilian Lucas Moura is set to secure a move to Tottenham Hotspur from French giants Paris Saint Germain, British media reported on Saturday.
January transfer window: Barcelona issue statement denying agreement with Atletico Madrid's Antoine Griezmann
Barcelona have "strongly" denied claims made by Spanish daily Sport on Saturday that they have reached an agreement to sign Antoine Griezmann from Atletico Madrid at the end of the season.