diff --git a/src/link/layout.cpp b/src/link/layout.cpp
index 4ca65cc0..d2ded1c4 100644
--- a/src/link/layout.cpp
+++ b/src/link/layout.cpp
@@ -267,9 +267,8 @@ void layout_PlaceSection(std::string const &name, bool isOptional) {
 		);
 	}
 
-	if (activeBankIdx == UINT32_MAX) {
-		section->isBankFixed = false;
-	} else {
+	// Enforce a bank if one is active, but leave any existing constraint alone.
+	if (activeBankIdx != UINT32_MAX) {
 		uint32_t bank = activeBankIdx + typeInfo.firstBank;
 		if (section->isBankFixed && bank != section->bank) {
 			scriptError(
@@ -296,11 +295,11 @@ void layout_PlaceSection(std::string const &name, bool isOptional) {
 			    section->org
 			);
 		} else if (section->isAlignFixed && (org & section->alignMask) != section->alignOfs) {
-			uint8_t alignment = std::countr_one(section->alignMask);
+			int alignment = std::countr_one(section->alignMask);
 			scriptError(
 			    "The linker script assigns section \"%s\" to address $%04" PRIx16
-			    ", but that would be ALIGN[%" PRIu8 ", %" PRIu16
-			    "] instead of the requested ALIGN[%" PRIu8 ", %" PRIu16 "]",
+			    ", but that would be ALIGN[%d, %" PRIu16
+			    "] instead of the requested ALIGN[%d, %" PRIu16 "]",
 			    name.c_str(),
 			    org,
 			    alignment,
@@ -331,10 +330,38 @@ void layout_PlaceSection(std::string const &name, bool isOptional) {
 			org += section->size;
 		}
 	} else {
-		section->isAddressFixed = false;
-		section->isAlignFixed = floatingAlignMask != 0;
-		section->alignMask = floatingAlignMask;
-		section->alignOfs = floatingAlignOffset;
+		if (section->isAddressFixed) {
+			if ((section->org & floatingAlignMask) != floatingAlignOffset) {
+				int alignment = std::countr_one(floatingAlignMask);
+				scriptError(
+				    "The linker script aligns floating section \"%s\" to ALIGN[%d, %" PRIu16
+				    "], but it was already at address $%04" PRIx16 " which has ALIGN[%d, %" PRIu16
+				    "]",
+				    name.c_str(),
+				    alignment,
+				    floatingAlignOffset,
+				    section->org,
+				    alignment,
+				    static_cast<uint16_t>(section->org & floatingAlignMask)
+				);
+			}
+		} else if (uint16_t commonMask = section->alignMask & floatingAlignMask;
+		           section->isAlignFixed
+		           && (section->alignOfs & commonMask) != (floatingAlignOffset & commonMask)) {
+			scriptError(
+			    "The linker script aligns floating section \"%s\" to ALIGN[%d, %" PRIu16
+			    "], but it already has requested ALIGN[%d, %" PRIu16 "]",
+			    name.c_str(),
+			    std::countr_one(floatingAlignMask),
+			    floatingAlignOffset,
+			    std::countr_one(section->alignMask),
+			    section->alignOfs
+			);
+		} else if (!section->isAlignFixed || floatingAlignMask > section->alignMask) {
+			section->isAlignFixed = floatingAlignMask != 0;
+			section->alignMask = floatingAlignMask;
+			section->alignOfs = floatingAlignOffset;
+		}
 
 		floatingAlignOffset = (floatingAlignOffset + section->size) & floatingAlignMask;
 	}
diff --git a/test/link/floating-constraints.asm b/test/link/floating-constraints.asm
new file mode 100644
index 00000000..c7cc8b39
--- /dev/null
+++ b/test/link/floating-constraints.asm
@@ -0,0 +1,9 @@
+DEF address EQU $100
+
+SECTION "code", ROM0[address]
+
+Start::
+	jp Start
+
+assert STARTOF("code") == address
+assert Start == address
diff --git a/test/link/floating-constraints.link b/test/link/floating-constraints.link
new file mode 100644
index 00000000..57e4e503
--- /dev/null
+++ b/test/link/floating-constraints.link
@@ -0,0 +1,3 @@
+ROM0
+	FLOATING
+	"code"
diff --git a/test/link/floating-constraints.out b/test/link/floating-constraints.out
new file mode 100644
index 00000000..e69de29b
diff --git a/test/link/linkerscript-floating-conflict.asm b/test/link/linkerscript-floating-conflict.asm
new file mode 100644
index 00000000..2a385d94
--- /dev/null
+++ b/test/link/linkerscript-floating-conflict.asm
@@ -0,0 +1,11 @@
+SECTION "fixed", ROM0[$1234]
+
+SECTION "aligned", ROMX, ALIGN[8, 42]
+
+SECTION "less aligned", ROMX, ALIGN[4, 1]
+
+SECTION "more aligned", ROMX, ALIGN[8, 1]
+
+SECTION "address compatible", ROMX[$4463]
+
+SECTION "align compatible", ROMX, ALIGN[8, 99]
diff --git a/test/link/linkerscript-floating-conflict.link b/test/link/linkerscript-floating-conflict.link
new file mode 100644
index 00000000..38103511
--- /dev/null
+++ b/test/link/linkerscript-floating-conflict.link
@@ -0,0 +1,21 @@
+ROM0
+	FLOATING
+	ALIGN 8, 42
+	"fixed"
+ROMX 1
+	FLOATING
+	ALIGN 8, 23
+	"aligned"
+ROMX 2
+	FLOATING
+	ALIGN 8, 2
+	"less aligned"
+ROMX 3
+	FLOATING
+	ALIGN 4, 2
+	"more aligned"
+ROMX 4
+	FLOATING
+	ALIGN 8, 99
+	"address compatible"
+	"align compatible"
diff --git a/test/link/linkerscript-floating-conflict.out b/test/link/linkerscript-floating-conflict.out
new file mode 100644
index 00000000..18666f8f
--- /dev/null
+++ b/test/link/linkerscript-floating-conflict.out
@@ -0,0 +1,9 @@
+error: The linker script aligns floating section "fixed" to ALIGN[8, 42], but it was already at address $1234 which has ALIGN[8, 52]
+    at linkerscript-floating-conflict.link(4)
+error: The linker script aligns floating section "aligned" to ALIGN[8, 23], but it already has requested ALIGN[8, 42]
+    at linkerscript-floating-conflict.link(8)
+error: The linker script aligns floating section "less aligned" to ALIGN[8, 2], but it already has requested ALIGN[4, 1]
+    at linkerscript-floating-conflict.link(12)
+error: The linker script aligns floating section "more aligned" to ALIGN[4, 2], but it already has requested ALIGN[8, 1]
+    at linkerscript-floating-conflict.link(16)
+Linking failed with 4 errors