Indeed, the Hammers icon cheered on the likes of Harry Kane, Eric Dier and Dele Alli while they were on England duty but admits they did exactly what he didn't want them to against West Ham.
Cottee told London 24: "In the [England] game itself I was also watching and cheering on the likes of Kane, Dier and Alli and I will hopefully be doing that again in the Euro finals next year.
"I wasn’t cheering them on Sunday, though, but I have to say they were impressive and look like a top-six side."
Such is Tottenham's form under Mauricio Pochettino, of course, that being 'top six' won't really make a difference for plenty of fans. Last season, Spurs finished fifth and that was after a campaign that didn't start anywhere near as well as this one.
So is West Ham icon Cottee sitting on the fence by saying top six and not top four? Or is he simply being sensible, knowing that Tottenham will have to keep up this kind of form all season long?
The north London side host Chelsea on Sunday afternoon, with West Ham playing West Brom on the same day. Spurs certainly have been impressive but the question of how impressive has caught the attention of many of their Premier League rivals.