Babel told BBC Sport: "I think that would be the ideal scenario," Babel said on Alonso's potential appointment at Liverpool, where he played for five years and won the Champions League and FA Cup.
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"It's a great story. He was a Liverpool player. He is now in his first year as manager and has impressed the world with the performances he has accomplished so far.
"As a Liverpool supporter you would love to see that."
But Babel added: "Sometimes I feel like we like to get excited very quickly and then when things don't go how we hope we like to chop their head off. So for Xabi it's a good question to see if he will be ready. With Liverpool there's a different expectation."