The Sun says McClaren oversaw a training session yesterday where Aston Villa skipper Barry played alongside his close pal Steven Gerrard in the middle.
Chelsea star Lamps, 29, has played just 90 minutes against Bolton in the last six weeks.
Barry, 26, stole the show after stepping in for the crocked Stamford Bridge man during last month's 3-0 defeats of Israel and Russia.
And he said: "I'm happy the manager is thinking about me alongside some great players.
"I know I can do the same job as in the last two games - and the manager knows it, too.
"Last month's qualifiers at Wembley were the biggest games of my career.
"Playing in Moscow would be even bigger, considering what's at stake, so I want to play."