Washington has told multiple teams that it doesn't intend to trade the disgruntled offensive tackle, sources told ESPN's Adam Schefter.
Teams have reportedly inquired about Williams but the Redskins have rejected all offers.
Head coach Jay Gruden told reporters earlier this offseason that he "seriously (doubted)" Williams would be dealt despite the tackle's continued holdout.
Williams hasn't attended team activities throughout the summer, as he is reportedly unhappy about the way Washington handled a medical situation of his. The 31-year-old had a growth on his head - initially feared to be malignant - removed in the spring.