That came after Herrera had been sent off when Mourinho assigned him the same task at Stamford Bridge in the FA Cup earlier in the campaign.
But Keown does not think the dismissal will deter the United boss as he once again looks to find a way to keep Eden Hazard quiet at Wembley.
"When these sides met in last season’s FA Cup quarter-final, Jose Mourinho assigned Ander Herrera and Phil Jones to pay close attention to Hazard," Keown told the Daily Mail.
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Eden Hazard will play a pivotal role if Chelsea beat Manchester United in the FA Cup final
"Herrera was sent off in the first half for a couple of overzealous challenges on the Belgian.
"Mourinho has tended to get players to put pressure on Hazard and I don’t think that’s going to change at Wembley."
A potential reunion between former Chelsea boss Mourinho and Hazard at United was touted towards the end of 2017.
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Eden Hazard says that he will not join Manchester United
But earlier this month the winger dismissed any talk of him ever swapping Stamford Bridge for Old Trafford.
The prospect of joining United was put to Hazard during an Instagram live video.
"Come to United? No chance," he replied, before laughing with his barber in the clip.