FRANKFURT — The European Central Bank is not ready to pull the plug on Greece — not yet at least.

Members of the central bank’s Governing Council are scheduled to meet in Frankfurt on Wednesday and are expected to conduct an intense discussion about the life support they are providing to Greek banks. But despite being unhappy with the way the Greek government has been handling debt negotiations, the policy makers are not likely to do anything that would provoke a crisis, according to analysts and a person familiar with the governing council’s thinking.

The central bank has lent more than 110 billion euros, or about $125 billion, to struggling Greek lenders. If the Greek government went bankrupt and caused the country’s banking system to collapse, the central bank could suffer huge losses.

But, despite having little patience remaining with the behavior of leaders of Greece’s leftist government, the central bank’s policy makers are not likely to further restrict the flow of emergency cash to Greek banks quite yet, analysts said.

The central bank has placed a ceiling of €80 billion on lending to Greek banks through a program known as emergency liquidity assistance. The central bank has been raising the ceiling in increments weekly, keeping the banks on a short leash.