French Economy and Finance Minister Bruno Le Maire (R) and Portuguese Finance Minister and Eurogroup chief Mario Centeno speak as they attend a Eurogroup meeting at the EU headquarters in Brussels on February 17, 2020.

There is growing optimism that euro zone finance ministers will approve new funding to the countries wrestling with the coronavirus pandemic, but division over so-called "corona bonds" is likely to remain.

European economies are at a standstill after many governments implemented national lockdowns to reduce the number of infections from COVID-19, the virus that emerged in China in late 2019. People have been stuck at home for almost a month, meaning all non-essential businesses have closed their doors across most European nations.

The economic and political pressure has resurfaced old divisions among European nations. However, three Brussels-based officials, who didn't want to be named due to the sensitivity of the issue, told CNBC that member states are now moving toward an agreement.

"We are almost there," an EU official from one of the largest EU economies, told CNBC Monday over the phone.

A second official, from a northern European country, said "we are hoping for an agreement."

A third person close to the talks said: "We are not there yet," but "there is a convergence (in opinion)."

Euro zone finance ministers — from those countries that share the single currency — are due to have a video call Tuesday, after a meeting between the 27 EU heads of state failed to deliver any meaningful conclusion about two weeks ago.

The three officials suggested ministers are likely to approve a credit line through the region's crisis fund — the European Stability Mechanism (ESM). The total credit line would be 2% of the euro area GDP (gross domestic product), roughly 240 billion euros ($258.82 billion) and be available to every nation in the 19-member euro area region.

There would be in return "very, very light conditionality," the second official said, adding that there would be "no Troika," referring to the three institutions that monitored how bailed-out nations were performing in the wake of the sovereign debt crisis of 2011.