London Underground says that moving control-room services to Hammersmith will increase capacity on the tube network.
A single control centre is being set up as part of a major modernisation programme. New signalling systems are also being installed on the Metropolitan, District, Hammersmith & City and Circle Lines.
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In a wide-ranging Peston on Sunday interview, he said Parliament security needs reviewing and the PM's counter-terror strategy is flawed.
The terror attack carried out by Khalid Masood at Westminster that left four people dead lasted less than two minutes say police.
Two knives were found at the scene in Islington, North London, and the suspects fled on foot before being arrested.