"To win [the cup] will put himself in a very good position," the 31-year-old defender explained.
Chelsea have won five and Liverpool four of their nine meetings in the FA Cup.
It is Chelsea's fourth FA Cup final in six years, they have won the previous three.
Chelsea have lost their past four matches against Liverpool. Their last win came in May 2010.
On the three previous occasions that Liverpool have beaten Everton in an FA Cup semi-final, they have lost the final.
"If we can do it with the added bonus that Robbie can get the job at the end, that'd be great."
Di Matteo, 41, won the FA Cup twice as a Chelsea midfielder in 1997 and 2000.
The Italian coach has previous managerial experience at Milton Keynes Dons and West Brom. He was promoted from Chelsea assistant manager to take charge at the Stamford Bridge following the
departure of previous boss Andre Villas-Boas
Under Di Matteo the Blues have enjoyed good form, reaching the finals of
the FA Cup
the Champions League
and remaining in contention for a top-four finish in the Premier League.
Terry was full of praise for the current manager: "He's very passionate, he's Chelsea through and through, and that's certainly rubbed off on the players.
"He's obviously done very well in the league and all competitions to get us where we are today."
While Chelsea are in good form in league and cup competition, Liverpool have stumbled in recent weeks.
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