The advice comes from Andriy Shevchenko, who failed to replicate the kind of form at the club that made him such a respected figure with AC Milan and throughout Europe.
Shevchenko, 34, managed only nine goals in 47 appearances for Chelsea, and knows the pressure Torres is under after he left Liverpool in January.
Top of the flops: Fernando Torres is 'doing a Andriy Shevchenko' at Chelsea
Shevchenko said: 'Chelsea play a different game to Liverpool. You need time to adapt. Everyone is looking at him because the price of the transfer is very high. In England everyone puts a lot of pressure on him. He is a big player, a big name and goals will come.
'He needs to keep believing in himself and keep calm. I know he will be working hard. Maybe it is best he does not think about scoring.'
Shevchenko left Chelsea to rejoin Milan on loan before returning home to Dynamo Kiev, where he started out.
Finding his feet: Back at Dynamo Kiev, Shevchenko has rediscovered his form
His arrival back in England this week was a happy one as the Ukrainian side defeated Manchester City in the Europa League and now face Braga in the quarter-finals.
Shevchenko scored in the 2-1 aggregate victory over City, who meet Chelsea on Sunday in a crucial Barclays Premier League match.
He still has a soft spot for his former club even though his game did not reach the heights he had hoped for in London.
Shevchenko added: 'I hope they play well and win as it is an important game for both sides.'
Top of the flops! Is Torres set to become Chelsea's most expensive failure? Juventus blast unethical Chelsea over Brazilian wonderkid Lucas PiazonTorres plays down goal drought and insists: At least we're creating chancesAll the latest Chelsea news, features and opinion
Explore more:People: Fernando Torres, Andriy Shevchenko Places: Milan, Liverpool, London, United Kingdom, Europe