With another important fixture coming up against Real Madrid in the Copa del Rey next week, Valverde will likely choose his solid Brazilian rock in the centre - a selection choice which has yet to let him down on the big occasions.
Barcelona qualified for the last-four in dramatic fashion, beating Sevilla 6-1 in the second leg - overturning a first-leg 2-0 deficit.
The first legs will be played on either February 6 or 7 - with Real hosting Barca first - with the following leg on either the 27th or 28th of the month.
"If we play Madrid in the semifinals, it's welcome and if we meet in the final, in case we both go through, it will be seen, but I do not care".
Suarez said: "We are all very happy, [Valverde] has a lot of confidence in the players, there is confidence that they speak in game situations and he is willing to listen to the players".
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Betis will play at home to Valencia in the first leg and visit Mestalla in the second, with both ties being played on the same dates.
Valencia scored two late goals to overcome Getafe on Tuesday and Real Betis needed extra time to knock out Espanyol.
Real Madrid have won the competition 19 times.
The draw for the semis will be held on Friday at Betis' Benito Villamarin stadium, where this year's final will be played.
The Copa del Rey could, then, offer the best shot at domestic silverware for Real this season, while they are also in the Champions League knockout stages, where they face Dutch giants Ajax in the last 16 in mid-February.