The phrase "admittedly a bit of" is correct and usable in written English.
It can be used when acknowledging a certain degree of truth or validity in a statement, often with a hint of concession.
Example: "Admittedly a bit of a challenge, the project turned out to be quite rewarding in the end."
Alternatives: "undeniably somewhat of" or "acknowledgedly a little bit of".
This is admittedly a bit of a tightrope.
He wants family doctors to know their patients by name – which in London is admittedly a bit of a stretch.
It is the role of a juvenile delinquent with, admittedly, a bit of talent for singing and, we are asked to believe, with a good heart.
The return of Todd Haynes, with a cast led by Cate Blanchett and Rooney Mara, was admittedly a bit of a no-brainer for any 2015 preview.
This business is admittedly a bit of silliness, so much so that after learning about it, NYC & Company took down the map from its Web site late last night.
The title is admittedly a bit of a mouthful: The Melodic Version of the Second Dream of the High-Tension Line Sthedown TransFourer from the Four Dreams of China.
As soon as I walked into 4E, admittedly a bit out of breath, I was struck by the view outside the windows, more than eight feet tall, that stretched across the 12-foot width of the living room.
It admittedly takes a bit of time before the tune kicks in, so it's worth persevering with the initial "garden implement and community spirit" footage.
The most egregious example of this latest contortion of logic found its way into the purportedly "mainstream" Daily Mail, courtesy of columnist David Rose, who admittedly has a bit of a reputation for misrepresenting climate scientists and climate science.
Software-defined storage: Software-defined storage has, admittedly, become a bit of a buzzword, but that makes the technology and its advantages no less real.
Both the camera import feature and the ability to delete the last clip shot are available with Instagram Video, which admittedly stole a bit of Vine's thunder but has yet to reach the same level of creativity or engagement.
