There's some kind of caged off 'alleyways' near the construction, on the right walking down TCR, that would take you that way. Fairly low ped traffic I'd guess. Falconberg Mews? http://maps.google.co.uk/maps?q=tottenham+court+road&oe=utf-8&client=firefox-a&ie=UTF8&hl=en&hq=&hnear=Tottenham+Court+Road+tube+station&ll=51.515778,-0.130986&spn=0.00114,0.002411&t=h&z=19
@hippy started
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There's some kind of caged off 'alleyways' near the construction, on the right walking down TCR, that would take you that way. Fairly low ped traffic I'd guess. Falconberg Mews? http://maps.google.co.uk/maps?q=tottenham+court+road&oe=utf-8&client=firefox-a&ie=UTF8&hl=en&hq=&hnear=Tottenham+Court+Road+tube+station&ll=51.515778,-0.130986&spn=0.00114,0.002411&t=h&z=19