Should the United Kingdom remain a member of the European Union or leave the European Union?
Remain 41% (+1)
Leave 43% (-4)
From what I can gather, TNS have chosen this unlikely moment to make a big methodological change, which entirely explains the apparent movement towards Remain. Without it, Leave would have retained exactly the same 7% lead they had in the last poll from the same firm. That's pretty extraordinary, given that the previous poll was conducted when Leave were enjoying a bit of a purple patch across the whole of the polling industry. On the face of it, that bodes well for a Leave victory, because it implies there's unlikely to have been much of a swingback to Remain - but the snag is that the fieldwork was conducted over a relatively extended period. It finished today, but it started way back last Thursday. That leaves open the possibility that there has been a very recent swing to Remain that this poll was unable to detect.
UPDATE : Just to emphasise the point about there being no underlying swing to Remain in this poll, I've now had a look at the datasets, and it appears that among the whole sample (when undecided 'leaners' are not assigned to either side) the Leave lead has actually increased from 2% to 4%.