Green’s Dictionary of Slang

(drugs) to ready a vein for injection, by making it swell out of the surrounding flesh.

1938		D. Maurer ‘Lang. of the Und. Narcotic Addict’ Pt 2 in Lang. Und. (1981).
1949		Monteleone Criminal Sl. (rev. edn) 34: bring up To cause the veins to stand out by tying up the arm or leg between the place where the addict desires to make the injection.
1959		J.E. Schmidt Narcotics Lingo and Lore 20: Bring up – To dilate a vein selected for a narcotic injection by compression above the site.
2001		ONDCP Street Terms 4: Bridge or bring up — Ready a vein for injection.