John Cross of the Mirror reported on the England captain's words post-match, during which he hinted that his time on the international stage may be about to come to an end.
The disappointed Liverpool player said, per Cross:
I think I need to park that hurt and the feeling I have got and see what happens over the next four or five days.
But if you go out in the group stage it will be a very personal low for myself and the team and I am sure everyone will feel very similar.
It’s not the moment now to talk about my future. But I said before the tournament that I’ll be respectful to you guys (the press) so let’s see what happens over the next four or five days and we’ll talk again.
It was Gerrard's mistake in the final minutes of the match that opened the door for Liverpool team-mate Suarez to fire the winner after a poor defensive header.
The 34-year-old has seemed way short of his best at the World Cup after an electric season with his club side in the Premier League.
Despite Gerrard's expected retirement from England duty, Roy Hodgson appears very keen to stay on-board with the country.
The coach was frank in his assessments, per Cross of the Mirror, saying: "I'm bitterly disappointed, of course, but I don't feel I need to resign."
And on his team's chances of progression the England manager said:
Our chances are unbelievably slim. It will depend on Italy winning their next two matches by a good number of goals, and us beating Costa Rica by the requisite number of goals.
To be in with a chance of continuing we really needed a result today, a draw or a victory, and we didn't get it.
Liverpool striker Daniel Sturridge took to Twitter to express his emotions after the crushing Group D defeat:
But TV presenter Adam Leventhal was less than sympathetic in his assessment of England's current position in world football after Thursday's defeat. He tweeted:
The two defeats by strong nations such as Italy and Uruguay have come as no surprise but the manner of both losses will cause alarm bells.
Both of England's opponents did not play near their best football but were able to overcome the Three Lions with too much ease.
England's back four have looked vulnerable for some time and when they are faced with top-class opposition they simply cannot cope.
Gerrard will surely retire once England are eliminated and the time has come for him to hand over the keys of the midfield to Jack Wilshere. As for the captain's armband, there are few names producing the type of performances that demand that honour.
Hodgson's position must also be called into doubt as tactically the team failed to deliver, as it has at almost every major tournament in recent memory.
Against a Uruguay team that was well-beaten by Costa Rica, his side were undone by a striker who was nowhere near 100 percent fit.
England now need to focus on Costa Rica and, whether they are eliminated or not, need to give the fans something to be proud about.