Bamford took in his 100th appearance for the Whites in Saturday's Elland Road clash against the Blues from which the Whites took a point through a goalless draw.
Bamford's game was cut short ten minutes before the break as the Whites no 9 was forced off injured following a challenge for the ball with Antonio Rudiger in the 29th minute.
The United striker attempted to play on before going down in the Leeds box on the half hour mark.
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Chelsea eventually kicked the ball out to allow Bamford to receive treatment and the forward hobbled off the pitch before re-entering and attempting to play on.
But the Whites no 9 was unable to move freely and went down again in the 35th minute before being replaced by Rodrigo from the bench.
Leeds then battled their way to a goalless draw as first Rodrigo and then Tyler Roberts replaced Bamford in the no 9 role.
Taking to his Twitter and Instagram pages after the game, Bamford wrote: "A really good point today - very proud to have played for Leeds United 100 times."
Whites head coach Marcelo Bielsa said at his post-match press conference that he had not yet asked about the extent of Bamford's injury.
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Thank you Laura Collins