At the weekend, Mourinho hinted Chelsea will bid for Monaco striker Radamel Falcao in the summer after their initial target, Wayne Rooney, committed the remainder of his elite career to Manchester United.
Eto'o, Fernando Torres and Demba Ba have scored just 18 goals between them this season and Mourinho has not been hesitant in expressing his doubts about the trio.
Mourinho is unhappy his conversation was recorded
Shortly after arriving in Istanbul ahead of the Blues's Champions League round-of-16 first leg with Galatasaray, Mourinho was recorded by the French television company Canal Plus in what he thought was a private conversation with the owner of Swiss watch manufacturer Hublot.
"I have a team but no striker," said Mourinho. "The problem at Chelsea is that we are lacking a goalscorer. I have Eto'o but he is 32, possibly 35, who knows?"
The joke about Eto'o's age is a reference to unfounded allegations that African footballers claim they are younger than they are.
Earlier this month, Lazio threatened legal action following questions over youth teamer Joseph Minala's age. Supposedly 17, an African website listed his age as 41.
Torres' career has nosedived since he joined Chelsea in 2011
Torres has cored just 43 goals since his £50 million transfer from Liverpool three years ago, Ba has scored three in 18 this term and Eto'o, labelled "Plan B" by Mourinho in the summer, has hit winners against Liverpool and Manchester United.
At the weekend, Mourinho told Canal Football Club: "I have a team, but no striker. Falcao does not have a team. A player like him can't play in front of 3,000 people. Monaco is a club to end your career with."
Mourinho, however, ruled out a reunion with his former Internazionale frontman Zlatan ibrahimović, or a move for the Swede's Paris Saint-Germain teammate Edinson Cavani.
Chelsea are keen on Atlético Madrid's Diego Costa, thriving at the Vicente Calderón in Falcao's absence.
CARDIFF, United Kingdom: Chelsea's manager Jose Mourinho raises the Carling Cup trophy after defeating Liverpool in ther Carling Cup Final football match at the Millennium Dome in Cardiff, Wales, 27 February, 2005. Chelsea won 3-2 in extra time. AFP PHOTO/JIM WATSON NO TELCOS, WEBSITES SUBJECT TO SUBCRIPTION OF LICENCE WITH FAPL AT WWW.FAPLWEB.COM (Photo credit should read JIM WATSON/AFP/Getty Images)
(FILES) Chelsea's Manager Jose Mourinho (C) holds aloft the Barclays Premiership trophy beside Frank Lampard (L) and John Terry (R) during the celebrations after the game against Charlton at Stamford Bridge in London, 07 May 2005. Jose Mourinho's three-year reign at Chelsea came to an abrupt end Thursday 20 September 2007, as the Portuguese manager's fraught relationship with the club's Russian owner Roman Abramovich finally reached breaking point. An announcement that will send shockwaves through English and European football came in the early hours of Thursday morning with Chelsea claiming that Mourinho had left 'by mutual consent.' AFP PHOTO/Adrian DENNIS/FILES (Photo credit should read ADRIAN DENNIS/AFP/Getty Images)
Chelse manager Jose Mourinho throws a second winners medal into the crowd
CARDIFF, UNITED KINGDOM - FEBRUARY 25: Chelsea Manager Jose Mourinho and his Assistant Steve Clarke celebrate with the trophy following their team's victory at the end of the Carling Cup Final match between Chelsea and Arsenal at the Millennium Stadium on February 25, 2007 in Cardiff, Wales. (Photo by Clive Mason/Getty Images)
London, UNITED KINGDOM: Chelsea manager Jose Mourinho lifts the FA Cup Trophy after beating Manchester United 1-0 at Wembley Stadium in London, 19 May 2007, during the FA Cup Final football match. AFP PHOTO/CARL DE SOUZA (Photo credit should read CARL DE SOUZA/AFP/Getty Images)
Inter Milan's Portuguese coach Jose Mourinho (2nd R) celebrates with players after winning the 17th Italian serie A football championship, 'scudetto', on Duomo Square in Milan on May 16, 2009. Inter Milan won a fourth straight Serie A title on May 16 despite not playing when nearest challengers AC Milan lost 2-1 at Udinese. AFP PHOTO / GIUSEPPE CACACE (Photo credit should read GIUSEPPE CACACE/AFP/Getty Images)
Inter Milan's Portuguese coach Jose Mourinho holds the trophy to celebrate the 17th Italian serie A football championship, 'scudetto',at the end of the Serie A football match Inter Milan vs Atalanta at San Siro Stadium in Milan on May 31, 2009. AFP PHOTO / GIUSEPPE CACACE (Photo credit should read GIUSEPPE CACACE/AFP/Getty Images)
Inter Milan's Portuguese coach Jose Mourinho kisses the Cup after his team defeated AS Roma in the Coppa Italia (Italian Cup) final on May 5, 2010 at Olimpico stadium in Rome. Inter Milan defeated AS Roma 1-0 to win the title. AFP PHOTO / ALBERTO LINGRIA (Photo credit should read ALBERTO LINGRIA/AFP/Getty Images)
Inter Milan's Portuguese coach Jose Mourinho celebrates with the trophy after winning the UEFA Champions League final football match Inter Milan against Bayern Munich at the Santiago Bernabeu stadium in Madrid on May 22, 2010. Inter Milan won the Champions League with a 2-0 victory over Bayern Munich in the final at the Santiago Bernabeu. Argentine striker Diego Milito scored both goals for Jose Mourinho's team who completed a treble of trophies this season. AFP PHOTO / CHRISTOPHE SIMON (Photo credit should read CHRISTOPHE SIMON/AFP/Getty Images)