McDaniels fought back tears during a press conference while talking about McKinley, who was found dead in his Denver-area apartment Monday from what authorities said was a self-inflicted gunshot wound, The Denver Post reported.
McKinley, 23, was "a special person (who) had a great smile, a great personality, always in a good mood, certainly well-liked by everyone who knew him," McDaniels told reporters.
"I've had the opportunity to have two draft classes here," McDaniels added. "And I'm not sure any one of those kids enjoyed the phone call as much as Kenny did. And that was him."
The Broncos said they will wear a helmet decal honoring McKinley during Sunday's game against the Indianapolis Colts and that a moment of silence will be observed at Mile High Stadium.
Arapaho County (Colo.) authorities said McKinley's body was discovered at his Centennial, Colo., home at 3:25 p.m., after they were called to investigate a possible suicide, the Post reported.