Mourinho's team can guarantee their place in the knock-out stages with a draw in Switzerland, while a victory would ensure they are certain to finish top of Group E ahead of their final fixture against Steaua Bucharest.
That clash with Steaua comes in the middle of a busy December for Chelsea and Mourinho would prefer to be able to rest players when the Romanians visit Stamford Bridge.
With that in mind, Mourinho on Monday challenged his players to show they can finish off Basel, who are four points behind Chelsea in third place.
"We go into the Christmas period and the accumulation of matches is so high, but we do it as a special group with a special mentality, enjoying the situation, forgetting we don't have a Christmas (break) like the Spanish, Italian and German players.
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"I enjoyed the busy period when I was in England and I missed it when I was in Spain and Italy.
"Now I'm back I want to enjoy it, I want the players to enjoy it, and we need a special mentality to cope with that situation.