"Whether the euro zone economy has achieved escape velocity to enjoy a return to a strong and sustainable recovery remains uncertain, but the region is certainly seeing its best growth momentum since 2011", Chris Williamson, chief economist at Markit, said in a press release accompanying the data on April 7.
Recent inflation data also suggest that the deflationary pressure is easing, with prices in March falling by 0.1 percent year-on-year, after a drop of 0.3 percent in February and 0.6 percent in January.
Read MoreEuro zone deflation eases further as QE takes hold
The euro has fallen 8.7 percent against the dollar since the announcement of QE in January, which is helping the fragile recovery.
"The lower euro is helping some of Germany's neighbours to grow a bit more than before, but that is all only a first improvement. The euro zone will grow below potential this and next year," Schneider added.
But as bond yields fall further in the euro zone, the discussion will most likely also hit on a potential shortage of "eligible" bonds for the ECB to buy.
The 10-year German Bund is close to trading with negative yields, and the ECB has said it will not buy sovereign debt which has a yield below its -0.20 percent deposit rate.
For now, though, things look relaxed.
"The ECB has clearly set a price limit with the deposit rate, but what has suprised me is that they have not bought into the longer end of the curve when it comes to German bunds," Christian Schulz of Berenberg Bank told CNBC.