England lost the South Africa series 2-0 because of today's 51-run defeat and Strauss has revealed that he hopes to map out his future with coach Andy Flower.
"It has been a tiring week," The Telegraph quotes Strauss as saying. "However I have great faith in the team and in the set up and I still have a lot of desire in there so we will see how things go.
"I am certainly keen to get away for a few days and then we all need to sit down, myself and Andy in particular, and try and map out a way forward.
"We have got to have a hard look at what went wrong, why it went wrong and how we can improve."
England now face South Africa in a one-day international series and a Twenty20 series.