In an interview with The Daily Telegraph, Sir Lindsay said the chair of the debate should be allowed to make the call on whether the presence of a baby is impeding discussions.
Under the current rules, MPs are allowed to bring their babies with them when voting but not when participating in debates.
The speaker requested a review into whether the rules should be updated amid an outcry over Labour’s Stella Creasy being told she can no longer have her three-month-old son with her.
Sir Lindsay told the paper his view was that the “chair on the day has got to make a decision”.
Referencing Ms Creasy’s son, he said: “I saw that baby come into the chamber when I was in the chair. And did it affect the debate? No. Was it a quiet and peaceful baby? Absolutely. Did it disrupt? Not in the slightest. So did it matter to me? Absolutely not.
“What I would say, and I’ll be quite honest with you, is each chair will make a decision. Unfortunately it’s become highly political.
“It is now for others to decide, that’s why the committee is reviewing it. And I will then have to respect [that decision]”
Sir Lindsay has asked the cross-party Procedure Committee to examine the rules and whether changes were needed, but has said he and his deputies could use their discretion in applying the existing measures.