Arsenal's sixth successive league win couldn't quite persuade anyone in the Gunners camp to publicly announce they have now emerged as genuine contenders.
But Ramsey has a feeling it won't be as straightforward for Chelsea as it seemed a few weeks ago - especially if Arsenal maintain their current form.
"In the Premier League, strange things happen," he said. "Upsets happen - Manchester City went to Burnley and lost.
"We just have to focus on ourselves and believe other teams around us will be on the end of those upsets.
"And we've just got to be switched on and make sure it doesn't happen to us and maintain this run we're on."
Arsenal's latest win, courtesy of two Olivier Giroud goals in as many minutes midway through the first half, was strange in its own right.
Newcastle were booed off at half-time. But after Gunners' target Moussa Sissoko scored within three minutes of the restart, they were a team transformed with Ayoze Perez and Remy Cabella threatening whenever they had the ball.
The ovation they received on the final whistle was as loud as anything St James' Park has heard for months.
Ramsey admits there were flashbacks to the famous stunning Toon comeback four years ago when Arsenal blew a four-goal lead at the same venue.
"When they scored so early in the second half, we knew it would become a very difficult game for us," he said.
"We were under the cosh and it was a nervy time for us.
"Their fans started getting behind them and you could feel the tension building up. In the end, we did well just to hold on and keep them out."
Arsenal's sparkling form has coincided with Giroud's own purple patch after an injury-hit first half to the campaign.
"Maybe I should give him a rest at the start of every season," said boss Arsene Wenger.
"He is probably benefitting from not playing so many games but I also believe he has improved his technical ability.
"His touch, his link up play and finishing, they have all improved. If you saw footage of when he first arrived, it is obvious he is now a better player.
"He is now scoring the goals which prove he is one of the best in the league and there is still room for improvement."
Newcastle have lost three in a row and boss John Carver admitted he was fearing the worst when Giroud exploited the injury-hit Toon's defensive frailties.
"I was worried at 2-0 but we weren't opened up as I had expected," he said.
"They scored from two set plays and at half-time I was hanging onto the fact they hadn't created too many chances.
"At half-time, I said to the players: 'don't go missing, stick your chests out, be proud of the jersey and yourselves and give everything you've got.'
"We had nothing to lose and gave it a real go without being gung-ho."
It's the Tyne-Wear derby next for Newcastle a week on Sunday and preparations have already begun, according to Carver.
"I think it's important to put it in their minds now and make sure they don't switch off and forget about all the good work we've done," he added.
"They have to be focussed for it without getting too excited and pumped up."
