Muwatta Imam Malik Book of Marriage, Hadith 2
Yahya related to me from Malik from Nafi from Abdullah ibn Umar that the Messenger of Allah ﷺ said, "Do not ask for a woman in marriage when another muslim has already done so."
Malik said, "The explanation of the statement of the Messenger of Allah ﷺ according to what we think - and Allah knows best - is that 'Do not ask for a woman in marriage when another muslim has already done so' means that when a man has asked for a woman in marriage, and she has inclined to him and they have agreed on a bride-price, which she has suggested and with which they are mutually satisfied, it is forbidden for another man to ask for that woman in marriage. It does not mean that when a man has asked for a woman in marriage, and his suit does not agree with her and she does not incline to him that no one else can ask for her in marriage. That is a door to misery for people."
وَحَدَّثَنِي عَنْ مَالِكٍ، عَنْ نَافِعٍ، عَنْ عَبْدِ اللَّهِ بْنِ عُمَرَ، أَنَّ رَسُولَ اللَّهِ ﷺ قَالَ " لاَ يَخْطُبُ أَحَدُكُمْ عَلَى خِطْبَةِ أَخِيهِ " .