The Danish pair are entangled in a frantic fight for the title which sees Schmeichel's Leicester City currently sitting eight points clear of Eriksen's Tottenham.
Leicester drew 2-2 with West Ham United on Sunday while Spurs take on Stoke City on Monday night and midfielder Eriksen says the texting has started to get a little more serious now that there are only a handful of matches remaining in the season.
"I hope it's me," Eriksen said when asked who will have the last laugh.
"I just texted him the other day. I said 'good luck winning...or not' and he said the same back.
"So of course we are still in contact and we're in the national team together and there are a lot of jokes, there is a good relationship between us.
"We are colleagues and friends but it's not like we're texting each other every week either.
"It's probably funnier to text each other now because of where we are in the league but it's just normal banter."