I went back to look through all the "OLD" London Underground threads and I finally found where someone had contacted Transport for London and here was the reply:
matjam wrote:Here is the official word from Transport for London.
Dear Matt
Thank you for your e-mail.
I am very glad you checked with us before submitting the design. We have
a number of issues with your design, which I detail below:
1. The map is an exact copy of our Tube map and therefore is an
infringement, and as you thought requires our permission, which in this
case we are unable to give.
2. Use of the Underground logo. The red circle and blue bar is the trade
mark and corporate mark of Transport for London, and we do not allow
additions or adaptations to be to it.
3. The words GOING UNDERGROUND is also a trade mark of Transport for
London and is currently used on a children's boardgame and we would not
wish this being used on another game.
Therefore, we have to decline your request for using both the Tube map
and Underground trade mark.
Kind regards
David Ellis
Head of Intellectual Property Development
Transport for London
Windsor House
42-50 Victoria Street
London
SW1H 0TL
Direct: 020 7126 3086
Now here is the reply from Oaktown:
oaktown wrote:sad, but not surprising.
I still really like the potential of tis type of gameplay - trying to nab a line rather than a region, where the lines cross each other and share territories.
There IS a possible solution: base the map on an underground map that is already in the public domain, namely, something pre-1923. It won't be the Harry Beck schematic that we know and love, and you'll have to come up with original graphics, but it's the same gameplay. Here's a 1911 version:

So if you want to make a London Underground map, then you will have to use a whole lot of creative license, or base it off of the Public Domain image Oaktown posted.
Hope to see someone get this done!!
