If either man earns induction this year it will be a well-deserved achievement that every Colorado fan will celebrate, but it could make for some awkward moments with school officials.
Before we get into that, let's take a look at why each man is deserving of the highest honor in the sport.
McCartney led the Buffs to the 1990 national championship and his team played for the title in 1989 as well and he was named National Coach of the Year that season. His teams won three consecutive Big Eight Conference titles and played in nine bowl games in his 13 seasons at CU.
McCartney coached 18 first-team All-Americans and is responsible for recruiting College Football Hall of Famer Alfred Williams as well as Bieniemy and 1994 Heisman Trophy winner Rashaan Salaam.
Bieniemy was a leader of those teams that played for the national title in 1989 and 1990. He was a unanimous selection as a first-team All-American in 1990 when he finished third in the Heisman balloting. He was a two-time first-team All-Big Eight selection and remains the Buffs' all-time leading rusher.
The NFF rarely inducts two men from the same school in the same year. So it's not likely both CU candidates will get in.
If one of them does earn unduction, he will be the seventh Buff in the hall of fame.
So why might this be awkward?
McCartney was intensely critical of CU's decision to fire coach Jon Embree last fall after a 1-11 season and questioned whether racism on the part of school administrators played a part in Embree's ouster. Embree was the first black head football coach in CU history. He went 4-21 in only two years as coach.
In firing Embree, CU also fired Bieniemy, who served as offensive coordinator for two seasons under Embree. Both Embree and Bieniemy are working in the NFL again as assistant coaches for the Cleveland Browns and Kansas City Chiefs respectively.
An honor as historic as earning a place in the hall of fame should lead to everyone to rise above any grudges are hard feelings they might hold.